Question: Use the Laplace Transform method to solve the following initial value problems using MATLAB. Then graph the solutions on the interval [0,15]. Also graph the

Use the Laplace Transform method to solve the following initial value problems using MATLAB. Then graph the solutions on the interval [0,15]. Also graph the function on the right-hand side of the differential equation (the forcing function). Also discuss how the solution behaves in response to the forcing function. (a) y+ 3y+ 2y=h(t),y(0)=1,y(0)=0, h(t)={u(t) if 0t10, 0 if t>10.

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