How to solve this differential equation

Hello,

Im pretty new to using Matlab, and I'm sort of confused on how to solve this equation in Matlab.

y'' + y = x^2

I have the symbolic tool box required, but I'm not sure if matlab can solve this equation. I also don't know the syntax properly on how I would ask Matlab to do this question.

[John D'Errico]

Are you looking for a symbolic or numerical solution? How would you turn this into a system of two first order differential equations? (hint: Differential Equations 101)

[Paulo Silva]

Here's two video tutorials for you Mat

http://www.youtube.com/watch?v=5qH4bmHR1YM

http://www.youtube.com/watch?v=fx3bl4oA_0U

They are very simple :)

Answer 1

[Walter Roberson]

You might have to use a slightly different call for MuPad. In Maple it would look like,

dsolve(diff(y(t), t, t)+y(t) = x^2)

and the answer would be:

y(t) = sin(t)*_C2+cos(t)*_C1+x^2

[Christopher Creutzig]

I guess Mat meant to use y(x), though.

Answer 2

[Christopher Creutzig]

MATLAB:

>> dsolve('D2y + y = x^2', 'x')   

ans =

C10*cos(x) + C11*sin(x) + x^2 - 2

 

MuPAD:

solve(ode({y''(x) + y(x) = x^2}, y(x)))

                            2
  {C2 cos(x) + C3 sin(x) + x  - 2}