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## Homework Statement

Hi,

I think this is called second order.So I'm working on a problem I haven't had lecture yet. I'm trying to understand.

Oh wait here is problem. Someone can help me understand this sort of problem in general.

For what values of k does the function y = coskt satisfy the diffy Q 4y'' = -25y?

a.) For those values of k, verify that every member of the family of functions y = Asinkt + Bcoskt is also a solution.

## Homework Equations

## The Attempt at a Solution

So, Here is all I know. Which isn't much. I'm used to just doing the first order? The ones that you just mess with then integrate and wahla. So how exactly do I do this and how do I generalize it. Because the book said every second order of ( they give a form) can be represented this way.

Thanks,