Exam 3 will be on Monday, November 6. It
will cover 3.7, 3.8, 3.9, 6.1, 6.2, 6.3, 6.4.
Table of Laplace transforms: In the exam I will give you the
following table of Laplace transforms:
tneat |
n!/(s-a)n+1 |
eat cos(bt) |
(s-a)/[(s-a)2+b2] |
eat sin(bt) |
b/[(s-a)2+b2] |
uc(t) f(t-c) |
e-cs F(s) |
Note:
- With a=0 you get from the table the Laplace transforms of tn,
cos(bt), sin(bt).
- With n=0 and 0!=1 you get from the table the Laplace transform of
eat.
- You have to memorize the Laplace transforms of y'(t) and y''(t) for the
exam!