(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve:

y'' - λy = 0

where y(0)=y(1)=0, y=y(t)

2. Relevant equations

3. The attempt at a solution

Hi everyone,

This is part of a PDE question, I just need to solve this particular ODE. I know how to do it in the case for y'' + λy = 0, where you get the solution:

λ = (nπ)^2,

y = C.sin(nπt), C a constant

However, I don't know how to go about doing it for this case, other than getting the trivial zero solution of course. Am I correct in thinking I should rewrite it as:

y'' + (-λ)y = 0

and then solve as for the positive case?

I would be really grateful if you could please tell me if this is correct.

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# Homework Help: ODE Problem with boundary conditions

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