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Hello people im new to this site and have a problem i cant seem to solve:

Use the method of eigenfunction expansions to solve

$y''(x) + y(x) = \cos x$ $∀x ∈ (0, π)$ subject to $\left\{ \begin{array}{c l} y(0)=0 \\ y(\pi)=0 \end{array}\right.$

Ive been stuck on this for quite a while so any help will be appreciated

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    Welcome! It is always helpful to let us know what you have tried so far, and where exactly you are getting stuck. Nice LaTeX, by the way! – 2017-01-18
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    What have you tried so far? Do you know how to find the eigenfunctions in question? – 2017-01-18
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    Im firstly stuck with what the eigenvalue would be in this question. Im not incredibly sure. @TheCount – 2017-01-18
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    The initial conditions are written correctly @Moo – 2017-01-18

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