The position control system described by:

$\frac{d{y}^2(t)}{d{t}^2}+4\frac{dy(t)}{dt}+16y(t)=8Kr(t)$

$($a$)$ Find the unity feedback gain for a $12\%$ overshoot.

$($b$)$ Find the settling time for $3\%$ error.

$($c$)$ Find the step response and steady state error