Problem $3.$ a$)$ Find V O $($t$)$ if V i $($t$)=6$U$($t$)[$V$]$ b$)$ Assuming V$1(0)=0$ and V$2(0)=0,$ find transfer function H$($s$)$of the system in sdomain.

c$)$ Using H$($s$)$ find the circuit response to Vi$($t$)=2$cos$40$t $[$V$]$