$6.$ Consider the LTI system with input x$($t$)$ and output y$($t$)$ defined by the differential equation $2$y $($t$)+12$y $($t$)+18$y$($t$)=2$x $($t$)+6$x$($t$)$ Where y $($$)=$ y$($$)=0.($a$)(5$ points$)$ Find system$$s frequency response H$($f$)($b$)(5$ points$)$ Find h$($t$)($c$)(5$ points$)$ Find Y $($f$)$ if x$($t$)=$ $($t $+16)$