System
y(t)=7x(t)
Impulse Response
y(d(t))=7(d(t))
so the impulse response is 7d(t)
System function
H(s) = $ \int_{-\infty}^{\infty}7\delta(\tau)e^{-s\tau}d\tau $
$ H(s)=7 $
CT Input
x
y(t)=7x(t)
y(d(t))=7(d(t))
so the impulse response is 7d(t)
H(s) = $ \int_{-\infty}^{\infty}7\delta(\tau)e^{-s\tau}d\tau $
$ H(s)=7 $
x