Let Y(s) = L[y(t)] be the Laplace transform of the solution of a second-order differential equation representing
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(a) Find the zero-state response (response due to the input only with zero initial conditions) for x(t) = u(t).
(b) Find the zero-input response (response due to the initial conditions and zero input).
(c) Find the complete response when x(t) = u(t).
(d) Find the transient and the steady-state response when x(t) = u(t).
(e) Use MATLAB to verify the above responses.
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