Unit Impulse
$ h(t) = u(t-1) \, $
$ H(s) = \int^{\infty}_{-\infty} u(t-1)e^{-jw_0 t} dt\, $
$ H(s) = \int^{\infty}_{1}e^{-jw_0 t} dt\, $
$ H(s) = \frac{1}{jw_0} $
Repsonse of the CT system
$ x(t) = cos({\frac{2\pi t}{3}})+ 4sin({\frac{5\pi t}{3}})\, $
$ y(t) = H(s)x(t)\, $
