Solve a second order differential equation with ODE45, RK4 and draw with power series

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jaehyeong park
jaehyeong park on 23 Nov 2019
Hi, I am completely new to Matlab and am looking to solve a simple second order differential equation:
y''+x*y=0, −∞ < x < .
I am looking to solve for y(x) with rk4, ode45
And plotting with power series these general solutions.
I understand this is a simple equation to solve and have done it fine on paper. However I have been trying different ways to solve it on matlab but to no avail.
Thanks in advance

Answers (2)

Jyotsna Talluri
Jyotsna Talluri on 26 Nov 2019
Second order differential equations can be slved using 'dsolve'
syms y(x)
Dy = diff(y);
eqn = diff(y,x,2) == -x*y;
y(x) = dsolve(eqn);
y = simplify(y);
Refer to the dsolve for more information

JONNALA SISINDRA REDDY
JONNALA SISINDRA REDDY on 7 Jun 2021
syms y(x)
Dy = diff(y);
eqn = diff(y,x,2) == -x*y;
y(x) = dsolve(eqn);
y = simplify(y);

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