Question: (a) For which values of . does the boundary value problem u + u = h(x), u(0) = 0, w(l) = 0 have a unique

(a) For which values of λ. does the boundary value problem u" + λu = h(x), u(0) = 0, w(l) = 0 have a unique solution?
(b) Construct the Green's function for all such k.
(c) In the non-unique cases, use the Fredholm alternative to find conditions on the forcing function h(x) that guarantee the existence of a solution.

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