a second order measuring system has dynamics described in the differential equation. d$^2$yout$($t$)/$dt$^2+9$dyout$($t$)/$dt $+20$yout$($t$)=80$yin$($t$).$ Find $($a$)$ Transform function $($b$)$ Poles $($c$)$ nature of damping $($d$)$ static sensitivity $($e$)$ final value if yo$($t$)=8$ for t$>0$