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Pyroadept
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Homework Statement
Solve:
y'' - λy = 0
where y(0)=y(1)=0, y=y(t)
Homework Equations
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.