Identify the poles and zeros for the following secondorder systems, and discuss system stability:

(a) \(\ddot{y}+2 \dot{y}+y=A \cos 3 t\)

(b) \(\ddot{y}+\dot{y}+0.1 y=A \cos 3 t\)

(c) \(\ddot{y}+300 \dot{y}+10 y=A \cos 3 t\)

(d) \(\ddot{y}+2 \dot{y}+y=A_{1} x+A_{2} \dot{x}\)

(e) \(\ddot{y}+y=A \cos \omega t\)

(f) \(\ddot{y}+y=B(x(t)+\dot{y})\).