In Chapter 3, direct convolution was used to solve for the output of LTI systems. For th...

In Chapter 3, direct convolution was used to solve for the output of LTI systems. For the following inputs and impulse responses, find the output, using Laplace transforms:

(a) Problem 3.1(a)(ii), where x(t) = e^5tu(t) and h(t) = u(t).

(b) Problem 3.7(b), where x(t) = e^-tu(t) and h(t) = u(t - 2) - u(t - 4). You may find the time-shift property to be useful.