A system is modeled by the differential equation $($d$^(2)$y$)/($dt$^(2))+4($dy$)/($dt$)+13$y$=($dx$)/($dt$)+2$x$.$

Determine $($a$)$ the frequency response function, $($b$)$ poles and zeros,

$($c$)$ the impulse response, and $($d$)$ theresponse to the input e$^(-2$t$)$u$($t$).$