Question: 3. Use the Laplace transform to solve the initial value problem y ( t) + 2y' (t) + y(t) = te-'+8(t-2), y (0) = 0,

3. Use the Laplace transform to solve the initial value problem y" ( t) + 2y' (t) + y(t) = te-'+8(t-2), y (0) = 0, y' (0) = 1. 1 1 Hint: C-1(- ((s - a) "? = (n - 1) ! in-1pat

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