Solve the initial value problem. X' = AX, X(0) = , where A = 10 [-2 sin 5t + 4 cos 5t] 4 cos 5t + 8 sin 5t O A. X(t) = [2 sin 5t + 4 cos 5t] e2t 4 cos 5t - 8 sin 5t В. X(t) - 2 sin 5t - 4 cos 5t e2 C. X(t) = 4 cos 5t - 8 sin 5t

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A: Given initial value problem can be evaluated as shown below by using substitution method

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A: First option is true by choosing suitable constant