Question: Use the method of undetermined coefficients to solve the initial value problem. y + 4y = 12 +4e', y(0) = 0, y' (0) = 1

Use the method of undetermined coefficients to solve the initial value problem. y" + 4y = 12 +4e', y(0) = 0, y' (0) = 1 O 27 4 V= cos 21 - sin 2t + 10 40 4 4 O 27 2 V cos 21 + sin 21 + 40 10 O 27 4 cos 21 - sin 21 + 2 e V 10 40 4 5 O 27 V cos 21 + sin 21 - 40 10 4 O 27 -IN V= - cos 21 - sin 2t + uil = 8 40

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