Consider the Sturm-Liouville problem Sy" + (1+ X)y = 0, A2-1. y(0) = 0, 3(1) = 0 (a) Is A = -1 an eigenvalue for the Sturm-Liouville problem? Justify your answer. (b) Find the eigenvalues and the corresponding eigenfunctions of the Sturm-Liouville problem.

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