(a) The eigenfunctions of the following eigenvalue problem: X" + XX = 0, X'(0) = X'() = 0 are given by Xn D (A) sin(nz), n= 0, 1,2, 3, .. (C) cos(nz), n = 0, 1, 2,3,. (B) sin(nz), n= 1,2,3,.. (D) cos(nz), n = 1,2, 3, .

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