Question: Problem: Given the initial boundary value problem a) Determine the values of X for which the boundary value problem du dx2 du dx +

Problem: Given the initial boundary value problem a) Determine the values of X for which the boundary value problem du dx2 du dx + Xu = 0, 0 < x < /, (0) | 2 = = 0, u(s) ds = 0, 2 has nontrivial solutions. b) Solve + 3 = 1 + u -x < x < , 0, t u(x, 0) = f(x).

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