(a) The impulse response of a linear circuit is \(h(t)=e\) \({ }^{-2 t} u(t)\). Use the convolution integral to find the response due to an input \(x(t)=t u(t)\).

(b) Convert the impulse response into a transfer function and the input into the \(s\) domain. Solve the problem in the \(s\) domain and convert your answer back into the \(t\) domain. Compare your result with that found in part (a).