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

Use the Laplace Transform method to solve the following initial value problems using MATLAB. Then graph the solutions on the interval [0,15]. In parts (a) and (b), also graph the function on the right-hand side of the differential equation (the forcing function). In each part, 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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