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Question: please provide me the details of process you take to...

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Problem #1: Consider a system with transfer function Y(s) (a) Let a, = 1 rad/s , Ç = 0.6 and the input be a unit step function. Then Y(s) can be written as Y(s) = s(s2 +1.2s+) Find the analytic solution y(), the inverse Laplace transform of Y(s), and then using MATLAB command plot to plot y (b) Repeat (a) for ç = 1, ç = 1.4, and ς-02, and compare the rise time, overshoot, and settling time of the four time responses (c) Repeat (a) for 2 rad/s and compare the rise time, overshoot, and settling time of the two time responses.

Please provide me the details of process you take to get answers for each question. Explain MATLAB code as well. Thank you.

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