$(15$ pts$)$ Consider the following continuous$-$time LTI system: where H$1($j$)=$j$+11$ and H$2($j$)=$j$+21.($a$)(5$ pts$)$ Determine the differential equation describing the overall system. $($b$)(5$ pts$)$ Find the impulse response of this system from the frequency response. $($c$)(5$ pts$)$ Find the output y$($t$)$ when x$($t$)$ is a signal with the Fourier Transform X$($j$)=$j$.$ Use the frequency response.