Differential Equations                       Study Guide for Problem Set #4                     C.S.Davis

You are responsible for the subject matter from Zill and Cullen (sixth edition)  in sections 7.1 through 7.7. The following topics are notable in their importance.

7.1   1. Define Laplace transform.   P278, Text

        2. Use the definition above to calculate the Laplace transform of a given easy function. (A limit must be taken.)   P283#3,11

        3. Apply sufficient conditions for existence of L{f(t)}.   P281, Text

        4. Apply basic theorems to calculate the Laplace transform of elementary functions.   P283#19-41 odd

7.2   1. Apply basic theorems to calculate inverse Laplace transform of elementary functions.   P292#1-27 odd

7.3    1. Apply the six powerful theorems to calculate Laplace and inverse Laplace transforms of more complicated functions.   P301#1-19odd,25,33,34,37,41,43,47,55,57,63
P347#3,7,19,23,25,27,31,33,37,39,49,51

6. Solve initial value problems by Laplace Transforms.   P292#33,35,39 

7. Solve electric LRC circuit problems using Laplace transforms.   P#211#45

8. Solve spring problems using Laplace transforms.   P207#9

9. Solve DE with Dirac delta function by Laplace transforms.   P318#1,3

10.Solve systems of linear DE's using Laplace transforms.   P322#1,2,7

11.Solve electrical network system of IVP's.   P322#15,16,20