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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 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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