When an input voltage of $240$u$($t$)$V$240$u$($t$)$V is applied to a circuit, the response is known to be

vo$($t$)=(75100$e$800$t$+25$e$3200$t$)$u$($t$)$Vvo$($t$)=(75100$e$800$t$+25$e$3200$t$)$u$($t$)$V$.$

Part A

What will the steady$-$state response be if vg$=40$cos$1600$tVvg$=40$cos$1600$tV$?$