A system is represented by the following ordinary differential equation

where y(t)is the system output and x(t)is the input.

(a) Find the transfer function H(s) = Y(s)/X(s)of the system. From its poles and zeros determine if the system is BIBO stable or not.

(b) If x(t) = u(t), and initial conditions are zero, determine the steady-state response y_ss(t). What if the initial conditions were not zero, would you get the same steady state? Explain.

d’y(t) +3(t) + 2y(t) dt dy(t) = x(t) 2 dt?