(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 \(x(t)=\delta(t)\). Repeat for \(x(t)\) \(=u(t)\).

(b) Convert the impulse response into a transfer function and the input into the \(s\) domain. Solve each of the problems in the \(s\) domain and convert your answers back into the \(t\) domain. Compare your results with those found in part (a).

(c) Which method of solution was easier?