Question: Solve the following initial value problem. y(t)- y'(t)- 2y(t) = 15 sin(t), y (0) = -1, y'(0) = -2. Justify your answer. Use the

Solve the following initial value problem. y"(t)- y'(t)- 2y(t) = 15 sin(t), y (0) = -1, y'(0) = -2. Justify your answer. Use the method of variation of parameters to find a particular solution.

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