Thesignal x(t)=u(t-1)-u(t-3) is the input to an LTI systemwith the impulse response h(t)=u(t-5)-u(t-8)The system is initially atrest.
(a)Compute the output y(t) of this system using convolution. Make asketch of y(t)
(b)Compute the output y(t) of this system using the Laplace transform. Inother words, transform x(t) and h(t), compute Y (s), and then inversetransform to obtain y(t).Which method do you think is easier for thisproblem? Laplace or convolution?