$($IV$)$: $($a$)$ Determine the $75\%$ response for the $2^{nd}$ order measurement system with initial conditions as $y(0)=5,dy\frac{0}{d}t=0?($b$)$ what is the ringing frequency and $\%$ critical damping ratio?

$5d^{2}y\frac{t}{d}{t}^2+3dy\frac{t}{d}t+7y(t)=6$

$(20$ points$)$