A system is modeled by an ODE dx1) dr dx(1) +3 di +2x(1) = u(1) Where x(1) is the output and u(t) is the input. a) Compute the Laplace Transform of the system and its Transfer Function G(s) = 6) u(s) b) If u(1) = 21 compute the time function representing the output x(1) c) If the input is now a unit step, compute the final value and initial values of the output x(t).

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A: Explanation of the answer is as follows

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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