(a) Derive the transfer function H(s) joT the general fiTstorder system. given by y + O"Y = ku, where y(t) ·is the output, u(t) is the input, and all initial conditions are assumed to be zero.

(b) Find the natural response of the first-or-der system.

(c) When is this system-stable?

(d) Obtain the unit step response from the naL'lLml response ·in (b).

Problem