Question: Solve the following ODEs using Laplace transforms. Once solved, simulate the output in matlab and attach a figure which shows the dynamics in the time

 Solve the following ODEs using Laplace transforms. Once solved, simulate the

Solve the following ODEs using Laplace transforms. Once solved, simulate the output in matlab and attach a figure which shows the dynamics in the time domain with appropriate bounds: a. y(t) + y(t) + 3y(t) = 0: y(0) = 1: y(0) = 2: b. y(t) + 2y(t) = e^t: y(0) = 1: y(0) = 2

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