Question: (a) Derive the transfer function H(s) for the general secondorder system given by where y(t) is the output, u(t) is the input, and all initial

(a) Derive the transfer function H(s) for the general secondorder system given by where y(t) is the output, u(t) is the input, and all initial conditions are assumed to be zero.

(b) Find the natural 1·esponse of the second-order system.

(c) When is this system stable?

(d) Explain how the unit step response can be obtained from the natural response in (b).

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