The Laplace Transform HW

ee382_week4_hw.docx

· Read Chapter 3 in the textbook Signals and Systems Using MATLAB. 

· Read the Lecture “W4 Lecture 2 – Laplace Transform”.

· Download and review the supplemental questions.

· Work the following six problems below for submission.

· Submit homework solutions via Assignment Upload Tool. Show all work for full credit.

1. The Laplace transform of e-10t u(t) is?

2. The Laplace transform of (t2cos ωt ) u(t) is?

3. By using the Laplace transform, compute the convolution x(t) * v(t) of the two signals?

where x(t)= e-3t u(t) and v(t) = (5sin t )u(t)

4. Compute the inverse Laplace transform of X(s) = 3s2+2s+1s3+5s2+8s+4 ?

5. Use Laplace transforms to compute the solution to the differential equation given below?

Where y(t)=0 ;y(t)=1