{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":53995,"title":"Solve an ODE: nonlinear third-order equation","description":"Write a function to solve the ordinary differential equation\r\n\r\non the domain  with , , and either  or . The input variable ord indicates the order (either 1 or 2) of the specified derivative. The function should return the values of  at the requested values of the independent variable .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 124px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 62px; transform-origin: 407.5px 62px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.35px 7.66667px; transform-origin: 176.35px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to solve the ordinary differential equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y'y'' = y'''\" style=\"width: 71px; height: 18px;\" width=\"71\" height=\"18\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 32px; text-align: left; transform-origin: 384.5px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46.2917px 7.66667px; transform-origin: 46.2917px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eon the domain \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"0 \u003c= x \u003c= 1\" style=\"width: 62.5px; height: 18px;\" width=\"62.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.3333px 7.66667px; transform-origin: 16.3333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(0) = y0\" style=\"width: 60px; height: 20px;\" width=\"60\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.66667px; transform-origin: 3.88333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(1) = y1\" style=\"width: 60px; height: 20px;\" width=\"60\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.95px 7.66667px; transform-origin: 36.95px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and either \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y'(0) = y'0\" style=\"width: 70px; height: 20px;\" width=\"70\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.1083px 7.66667px; transform-origin: 10.1083px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ0AAAAoCAYAAADkIfgQAAAG1klEQVR4Xu1bOasmRRSd+QWDOpEYPFwCYUAZt0QDDRwXEMHAERMDcQ0V18BAHbfRyBUMXiDMCIIgKGqg4BK4gYJgoDOIgZEL4g/Qc6QP1Fev6tbt7qr+5vNVw6V576u+de+tU3er7r17+tUtsLAF9i48X5+uW2BPB10HweIW6KBb3OR9wg66joHFLbCJoHsZVvoEdLyStZ4En79Az1bi19kULNAadO9j/nNBl4F+T8hyHf73Buhh0GuO1RoDuMsHfr/ifrLA+wH8vgW6xyHD/3kI7fAM6ELQdxlFS2tatE9L0F2A2b8F/Qk6LwM6equbQQ86PA0BR16PGlqdjd/uBx0GPT2MuwP3n4Y5cobkUPL/2SFH0agbPOAPyH4a6ArQZwk9PGtaVL8l6Bi2HgEdyQDlDPz/twFIF+NueSOC6AlQzmNSURrkYxANdxNIAOM8X4DOAV0Pei9jFY77EXRDxuBFY274AEadd0Ffgy7J6FJaU5cJWoKO3uV0UA5QBNIxA5RSQGBg6MvlcSGw7sK4OFQz1H46MNyPeyrU82cPuF2G3cBB9PR3FzZmaU1darcCHcPciQKgqCQXueTlmGcwRDI3zF3KRRh+c/xoMHq7N4d5c7zoKRmad1thQfvQfjkv51nTtYLuTsz+VAFQXNxXQFaOJi9XKjSUi1ihQTuZhrG8HUMI80wL5C7jbtAg5WpW+uFZU5fKrTwdK5y3QbmKlOFuG2TlaFRAIdiqppSLcDxBnKtAabRXB6vcgnsuVCsUWwvgMu4GDWKkODjYOyd2aU3d6npAR29zPugHUJwL0eWeGf2m/MoCFL3JLwYopQCBcTWIuWHuUmjl76l8Ts+FeZ0FTo7/B5QrgNzGXeNAei5eqWqddvg7+u0r/H17Zjz5eNbUrW4OdBTsWhATS5bQuQVVWPsAA24FEZQUkIDLVYnkRf6e/hn5fwm6xtBIbZecjHo0BJ0Vhjmei0BdrHlzIqk/6F6ExMAYFB5e3HxXgQ4Ng5lTxxs/9PahJ2dEsZrtnjX1yPjfmJKnC6vClBLePMktUDBQLZWSV6Lbl6G9no4Js+U9xbNkn5Re9JJzr1KxY/EPgRXbQ20lOpK1eXKPUZVXUdFU05DAY8WTq3qmLoA8U6lxHILOyv0ohwBRAp02k8c+sX6UZ+71ERjMqZ5VqTMCxd5aVejaclaPUeVxaMjU7mh1djkFdLlOOmUP9SiBTnmixW8usFo+ryYu54grddnBs/ZNZPROrLyJuRB3TlhQcFeFJwC1BJ0CulrhddNBpxYI1yKu1Bm5bgTxvpbLC7owTwhDWEsFvKCbUr2WcibPwfdaFmzEpCryYl1bOQl60McD+RjGmRrtqKC9oMvtnFYKUHYv6MKc0+vpSkm0PLvXPiEW1lW9xnhMRadWTkJN/A8hxL1DJJSj2pFnjzGqdo6qSTK9srGbZuJfql6VGNPolgcLPWIpiWYxcCnIqnBzTmfd1avkCqMTj//4ziBffGiRCqnwinNgYoZdj5Uicwzo4p3DNzJK56YjokFyKD0pqdQvUwVLBXPHV5I/1fqJJ/fOmxL6VKheKVcYnbjJDoC2QLXfGQwLtLho0bqsgHEM6LRzWPnRjXLxrHPTuYDj897WRdj4TVWcoWGsEMw5NbbUqqmhX2seYXRio986c54qi2yfargruqykM2NAFy6s5VGmCp96Tueqpf4bn1WbIBVipXyqbxXP6znvraljS15hD9M6b54jg2xrgW7F7mNAR8GUr5RyojlKxM963kbRM/KM3FkvgNjakYcOj+os+Vo1u2vaxMvLAoSXR2mcB3QrgJwCulJiXxJy7O9U6iGQN6nXufFFw0Tf4P45yDoLlkwKra28wljd544XIFhIlL4TmTpXU9DpdaSl3zPT+e9zsIrn452pxuNzOjQvFS5z5ljyWYbXbVCtL+dSsiuSWOF1kqdjW4IPtq5WcwtCwL8Dyn3gU2MhdRjONpD1AU+NuZbgwRyXB/u1q9VY9iaFBD0Nd8xjzhDVyqBM8G8DtfBC0vH5xl6hlW1ivrTVfaDaL2Hk5FeuH6drKmRWaoBUTqfF5ZsOb4FYDb4Oah3aPAvC8LfVYPeyeKj5AbdHl1pjuGFeGpi9iPtZoNKXc7XmFh+rOcxCcOW9vhTowjKbTE+1pJqbYl/FTUAgfw/yFBq1F6sGv7CVRX6plzJqzGPx0DFY+MKtcr0dnY4U6Jjb8EMYIvQoqFXV09oQu4m/CqBtKN2yaLBsqg/deWfHgBUzPe+Oj7bHtkx200J2XRtZoIOukWE727wFOug6Oha3QAfd4ibvE3bQdQwsboEOusVN3ifsoOsYWNwC/wJfybU4YZYqZwAAAABJRU5ErkJggg==\" alt=\"y''(0) = y''0\" style=\"width: 78.5px; height: 20px;\" width=\"78.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.4583px 7.66667px; transform-origin: 61.4583px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The input variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 7.66667px; transform-origin: 11.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; \"\u003eord\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.5083px 7.66667px; transform-origin: 31.5083px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e indicates the order (either 1 or 2) of the specified derivative. The function should return the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(x)\" style=\"width: 30px; height: 18.5px;\" width=\"30\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 7.66667px; transform-origin: 84.4px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at the requested values of the independent variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.66667px; transform-origin: 1.94167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = solve3ordNLODE(x,y0,y1,yd,ord)\r\n%  x = requested values of the independent variable\r\n%  y = values of function at the requested values of x\r\n%  y0, y1 = values of the function at x = 0 and x = 1\r\n%  yd = value of either y'(0) or y''(0)\r\n%  ord = 1 if yd is the first derivative or 2 if it is the second derivative\r\n\r\n   y = A1*exp(r1*x)+A2*exp(r2*x)+A3*exp(r3*x);\r\nend","test_suite":"%%\r\ny0 = 2.231252941;\r\ny1 = 6.297567308;\r\nyd = 1.557407725;\r\nord = 1;\r\nx  = [0.3 0.5 0.8];\r\ny_correct = [2.790588219 3.308319582 4.544300275];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 2.231252941;\r\ny1 = 6.297567308;\r\nyd = 1.71275941;\r\nord = 2;\r\nx  = [0.3 0.5 0.8];\r\ny_correct = [2.790588219 3.308319582 4.544300275];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 3.287682072;\r\ny1 = 9.107569130;\r\nyd = 1.154700538;\r\nord = 1;\r\nx  = 0.25:0.25:0.75;\r\ny_correct = [3.669824691 4.306714708 5.456245713];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 3.287682072;\r\ny1 = 9.107569130;\r\nyd = 8/3;\r\nord = 2;\r\nx  = 0.25:0.25:0.75;\r\ny_correct = [3.669824691 4.306714708 5.456245713];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 3.693147181;\r\ny1 = 3.046411846;\r\nyd = -2;\r\nord = 1;\r\nx  = 0.2:0.2:0.8;\r\ny_correct = [3.36426198 3.152361229 3.034571214 3.000213221];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 0.722781494;\r\ny1 = 2.637280183;\r\nyd = 1.030077779;\r\nord = 2;\r\nx  = 0.2:0.2:0.8;\r\ny_correct = [0.950884887 1.231252941 1.581096155 2.030246566];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-02-07T03:08:13.000Z","updated_at":"2022-02-07T13:11:31.000Z","published_at":"2022-02-07T03:11:39.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to solve the ordinary differential equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y'y'' = y'''\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime y\\\\prime\\\\prime = y\\\\prime\\\\prime\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eon the domain \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"0 \u0026lt;= x \u0026lt;= 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 \\\\le x \\\\le 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(0) = y0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(0) = y_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(1) = y1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(1) = y_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and either \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y'(0) = y'0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime(0) = y\\\\prime\\n_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y''(0) = y''0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime\\\\prime(0) = y\\\\prime\\n\\\\prime_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The input variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eord\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e indicates the order (either 1 or 2) of the specified derivative. The function should return the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(x)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at the requested values of the independent variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":53995,"title":"Solve an ODE: nonlinear third-order equation","description":"Write a function to solve the ordinary differential equation\r\n\r\non the domain  with , , and either  or . The input variable ord indicates the order (either 1 or 2) of the specified derivative. The function should return the values of  at the requested values of the independent variable .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 124px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 62px; transform-origin: 407.5px 62px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.35px 7.66667px; transform-origin: 176.35px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to solve the ordinary differential equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y'y'' = y'''\" style=\"width: 71px; height: 18px;\" width=\"71\" height=\"18\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 32px; text-align: left; transform-origin: 384.5px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46.2917px 7.66667px; transform-origin: 46.2917px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eon the domain \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"0 \u003c= x \u003c= 1\" style=\"width: 62.5px; height: 18px;\" width=\"62.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.3333px 7.66667px; transform-origin: 16.3333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(0) = y0\" style=\"width: 60px; height: 20px;\" width=\"60\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.66667px; transform-origin: 3.88333px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(1) = y1\" style=\"width: 60px; height: 20px;\" width=\"60\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.95px 7.66667px; transform-origin: 36.95px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and either \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y'(0) = y'0\" style=\"width: 70px; height: 20px;\" width=\"70\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.1083px 7.66667px; transform-origin: 10.1083px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y''(0) = y''0\" style=\"width: 78.5px; height: 20px;\" width=\"78.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.4583px 7.66667px; transform-origin: 61.4583px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The input variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 7.66667px; transform-origin: 11.55px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; \"\u003eord\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.5083px 7.66667px; transform-origin: 31.5083px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e indicates the order (either 1 or 2) of the specified derivative. The function should return the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(x)\" style=\"width: 30px; height: 18.5px;\" width=\"30\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 7.66667px; transform-origin: 84.4px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at the requested values of the independent variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.66667px; transform-origin: 1.94167px 7.66667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = solve3ordNLODE(x,y0,y1,yd,ord)\r\n%  x = requested values of the independent variable\r\n%  y = values of function at the requested values of x\r\n%  y0, y1 = values of the function at x = 0 and x = 1\r\n%  yd = value of either y'(0) or y''(0)\r\n%  ord = 1 if yd is the first derivative or 2 if it is the second derivative\r\n\r\n   y = A1*exp(r1*x)+A2*exp(r2*x)+A3*exp(r3*x);\r\nend","test_suite":"%%\r\ny0 = 2.231252941;\r\ny1 = 6.297567308;\r\nyd = 1.557407725;\r\nord = 1;\r\nx  = [0.3 0.5 0.8];\r\ny_correct = [2.790588219 3.308319582 4.544300275];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 2.231252941;\r\ny1 = 6.297567308;\r\nyd = 1.71275941;\r\nord = 2;\r\nx  = [0.3 0.5 0.8];\r\ny_correct = [2.790588219 3.308319582 4.544300275];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 3.287682072;\r\ny1 = 9.107569130;\r\nyd = 1.154700538;\r\nord = 1;\r\nx  = 0.25:0.25:0.75;\r\ny_correct = [3.669824691 4.306714708 5.456245713];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 3.287682072;\r\ny1 = 9.107569130;\r\nyd = 8/3;\r\nord = 2;\r\nx  = 0.25:0.25:0.75;\r\ny_correct = [3.669824691 4.306714708 5.456245713];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 3.693147181;\r\ny1 = 3.046411846;\r\nyd = -2;\r\nord = 1;\r\nx  = 0.2:0.2:0.8;\r\ny_correct = [3.36426198 3.152361229 3.034571214 3.000213221];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))\r\n\r\n%%\r\ny0 = 0.722781494;\r\ny1 = 2.637280183;\r\nyd = 1.030077779;\r\nord = 2;\r\nx  = 0.2:0.2:0.8;\r\ny_correct = [0.950884887 1.231252941 1.581096155 2.030246566];\r\nassert(all(abs(solve3ordNLODE(x,y0,y1,yd,ord)-y_correct)\u003c1e-6))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-02-07T03:08:13.000Z","updated_at":"2022-02-07T13:11:31.000Z","published_at":"2022-02-07T03:11:39.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to solve the ordinary differential equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y'y'' = y'''\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime y\\\\prime\\\\prime = y\\\\prime\\\\prime\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eon the domain \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"0 \u0026lt;= x \u0026lt;= 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 \\\\le x \\\\le 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(0) = y0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(0) = y_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(1) = y1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(1) = y_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and either \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y'(0) = y'0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime(0) = y\\\\prime\\n_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y''(0) = y''0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime\\\\prime(0) = y\\\\prime\\n\\\\prime_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The input variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eord\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e indicates the order (either 1 or 2) of the specified derivative. The function should return the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(x)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at the requested values of the independent variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"closed form 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form solution\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"closed form solution\"","","\"","closed form solution","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f74d9d9dfc8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f74d9d9df28\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f74d9d9d668\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f74d9d9e248\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f74d9d9e1a8\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f74d9d9e108\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f74d9d9e068\u003e":"tag:\"closed form solution\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f74d9d9e068\u003e":"tag:\"closed form 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