Study Sheet for Chapter 9

Test 2 is on Friday April 5. It is your responsibility to master the material in Chapter 9, Nonlinear Differential Equations and Stability by that time. Below is a list of suggested homework programs. Most of the answers are in the back of your textbook, but you may turn in any problems you wish me to look over. Also below is a list of important concepts and two practice tests.

Suggested Homework Problems

Section	Problems
9.1	1, 2, 6, 11, 18, 19
9.2	5, 6, 7, 11, 14, 15, 17, 20, 24, 25, 26
9.3	1, 4, 5, 6, 8, 12, 19, 25, 27, 28
9.4	2, 6, 7, 8, 9
9.5	2, 5, 6, 10, 13
9.6	1, 2, 3, 4, 8, 9
9.7	1, 2, 4, 5, 6, 7, 8, 9, 11, 15
9.8	1, 3, 4, 6, 7, 8

Important Concepts
Phase portraits
Cycles and limit cycles
Stability types of cycles
Liapunov functions
Chaos

Practice Tests
Practice Test 2.1
Practice Test 2.2