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## Homework Statement

The signal x(t) = u(t-1) - u(t-3) is the input to an LTI system with the impulse response h(t) = u(t-5) - u(t-8). the system is initially at rest.

a) Compute the output y(t) of this system using convolution.

b) Compute the output y(t) of this system using the Laplace transform.

## The Attempt at a Solution

a) I got the answer to be

y(t) =

0, t <= 6

2, 6 < t <= 8

1, 8 < t <= 9

2, 9 < t <= 11

0, t > 11

b) I have no idea how to compute the laplace transform of unit step functions. any help?