Question: Help Question 1 (a) Solve the following initial value problem using Laplace transform of derivatives: y - 3y' + 2y = e-4, y(0) = 1,

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Question 1 (a) Solve the following initial value problem using Laplace transform of derivatives: y" - 3y' + 2y = e-4, y(0) = 1, y'(0) = 5. (Ma (b) Evaluate the following Laplace transformation. e sin(t - T) dT. 0

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