Given the following LTI system
$ \,s[t]=e^{\pi}x[t]\, $
Part A
Find the system's unit impulse response $ \,h[n]\, $ and system function $ \,H(z)\, $.
The unit impulse response is simply (plug a $ \,\delta[n]\, $ into the system)
$ \,h[n]=e^{\pi}\delta[n]\, $