Question

The transfer function of a system is given by $H\left(s\right)=\frac{1}{s^2(s-2)}\cdot$The impulse response of the system is

( * denotes convolution, and u(t) is unit step function)

Answer 1

Impulse response of system is $L^{-1}\left[H\right(s\left)\right]$
$\frac{1}{s^2(s-2)}=\frac{1}{s^2}\times \frac{1}{s-2}=(t\ast e^{2t})u\left(t\right)$