A continuous-time Linear Time-Invariant (LTI) system defined for the purpose of this page will be
$ \ w(t) = 5v(t) $
where v(t) is an input signal dependent on the parameter of time.
The unit impulse response of the system would then simply be
$ \ w(t) = 5\delta(t) $
and the system function H(s) of the system, where
$ \ s = \sigma + j\omega $
