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Find all of the non-trivial solutions to the boundary value problem X = kX and X(0) = 0 and X' (It) = 0 where K

Find all of the non-trivial solutions to the boundary value problem X" = kX and X(0) = 0 and X' (It) = 0 where K is a constant. You should consider the cases where k > 0, k = 0 and k

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