"The continuous$-$time linear system $($S$)$ generates the following input $($x$($t$))-$ output $($y$($t$))$ pairs:"

$x(t)=e^{j2t},Sy(t)=e^{j3t}$

$x(t)=e^{-j2t},Sy(t)=e^{-j3t}$

$($a$)x_1(t)=cos(2t)$ oldu$$unda $y_1(t)\text{'}$yi hesaplay$$n

$($b$)x_2(t)=cos(2(t-\frac{1}{2}))$ oldu$$unda $y_2(t)\text{'}$yi hesaplay$$n