Question: (10 points) For the system in problem 2, find the response of the system for the case of (0) = 1, (0) = 0 and

(10 points) For the system in problem 2, find the response of the system for the case of (0) = 1, (0) = 0 and u(t) is a doublet as shown in the figure. (Hint: Use the Laplace transform of the given impulse response to determine poles of the system, and hence, response functions. Find free response using the given initial conditions. Divide the given doublet input in terms of three step inputs displaced in time, and hence, find forced response for each of the step inputs. Use superposition to find the total response

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