Problem 51745. Solve an ODE: equation A

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function to solve the following ordinary differential equation: </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/><w:attr w:name=\"altTextString\" w:val=\"y&quot;-xy = 0\"/></w:customXmlPr><w:r><w:t>\\frac{d^2y}{dx^2} – x y = 0</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>with </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"y(x0) = y0\"/></w:customXmlPr><w:r><w:t>y(x_0) = y_0</w:t></w:r></w:customXml><w:r><w:t> and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"y(x1) = y1\"/></w:customXmlPr><w:r><w:t>y(x_1) = y_1</w:t></w:r></w:customXml><w:r><w:t>. The function should return the values of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"y\"/></w:customXmlPr><w:r><w:t>y</w:t></w:r></w:customXml><w:r><w:t> at the specified values of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"x\"/></w:customXmlPr><w:r><w:t>x</w:t></w:r></w:customXml><w:r><w:t>. One application of this equation involves the propagation of internal gravity waves in a fluid with variable density gradient.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div 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; "><div style="block-size: 118.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 59.3px; transform-origin: 407px 59.3px; vertical-align: baseline; "><div 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: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span 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: 209.417px 8px; transform-origin: 209.417px 8px; unicode-bidi: normal; "><span style="">Write a function to solve the following ordinary differential equation: </span></span></div><div style="block-size: 36.6px; 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: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-16px"><img src="data:image/png;base64,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" alt="y&quot;-xy = 0" style="width: 74px; height: 36.5px;" width="74" height="36.5"></span></div><div style="block-size: 43px; 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: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span 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: 14.3917px 8px; transform-origin: 14.3917px 8px; unicode-bidi: normal; "><span style="">with </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="y(x0) = y0" style="width: 64.5px; height: 20px;" width="64.5" height="20"></span><span 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: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; "><span style=""> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="y(x1) = y1" style="width: 64.5px; height: 20px;" width="64.5" height="20"></span><span 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: 128.742px 8px; transform-origin: 128.742px 8px; unicode-bidi: normal; "><span style="">. The function should return the values of </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">y</span><span 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: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; "><span style=""> at the specified values of </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">x</span><span 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: 62.2333px 8px; transform-origin: 62.2333px 8px; unicode-bidi: normal; "><span style="">. One application of this equation involves the propagation of internal gravity waves in a fluid with variable density gradient.</span></span></div></div></div>

Solve

Solution Stats

12 Solutions
7 Solvers

Last Solution submitted on Jan 23, 2022

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

David Hill on 14 May 2021

Chris,
Can you loosen the tolerance to 1e-13. Cannot seem to get all my answers within tolerance.

ChrisR on 14 May 2021

The tight tolerances are meant to encourage analytical solutions. A tag and the problem title provide clues. Nevertheless, I've loosened the tolerance on the tests that solution 5760543 didn't pass.

Problem Recent Solvers7

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 51745. Solve an ODE: equation A

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers7

Suggested Problems

More from this Author183

Problem Tags

Community Treasure Hunt

Problem 51745. Solve an ODE: equation A

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers7

Suggested Problems

More from this Author183

Problem Tags

Community Treasure Hunt

Players