1. ENTC 4347
HOMEWORK SET 1

2. Problem 1.1.

3. Problem 1.2.

4. Problem 1.3.

5. Problem 1.4.

6. Problem 1.5.

7. Problem 1.6.

8. Problem 1.7.

9. Problem 1.8.

10. Problem 1.9.

11. Problem 1.10.

12. Problem 1.11.

13. Problem 1.12.

14. Problem 1.13.

15. Problem 1.15
Using the definition of the Laplace transform, derive the following Laplace transforms.
A. L[e-at]
B. L[d(t)]
C. L[t] (Hint: integration by parts)
D. L[sin(wt)]

16. 1.16
Find the inverse Laplace transform for the following.
a. L-1
b. L (Hint: Make sure the order of the denominator is larger than the numerator)
c. L-1