Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 0-20 ++ - 2 0 0,f(t)= 2 sin 2t 0 02 A = 2t 2t HH 0 X(t) = C₁ 1 4t 0 0 0 e2t - 7 3t 2 e 3t + sin (2t) - cos (2t) - 2t - 1

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