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Solve the initial value problem. 2 X' = AX, X(0) = where A = 15 5 10 3 3 sin 2t - 3 cos

Solve the initial value problem. 2 X' = AX, X(0) = where A = 15 5 10 3 3 sin 2t - 3 cos 2t A. X(t) = |-15 cos 2t - 15 sin 2t e3t 3 sin 2t + 3 cos 2t 15 cos 2t + 15 sin 2t B. X(t) = e3t 3 sin 2t + -3 cos 2t C. X(t) = -15 cos 2t - 15 sin 2t e-3t -3 sin 2t + 3 cos 2t e-3t D. X(t) = 15 cos 2t + 15 sin 2t

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