Find the eigenvalues A, and eigenfunctions y(x) for the given boundary-value problem. (Give your answers in terms of k, making sure that each value of k corresponds to two unique eigenvalues.) y" + 2y = 0, y(-x) = 0, y(x) = 0 A2k-1 = (2k-1)2 4 Y2k-1(x) = cos(kx) 22K = K² Y(x)=sin(2kx) x k = 1, 2, 3, ... k= 1, 2, 3, ... k= 1, 2, 3, ... k= 1. 2. 3.

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