Midterm Exam #1 Study Suggestions

Note: This is only a guide and not meant to guarantee precisely what will be on the exam!

Suggested problems

All previously assigned homework!  In addition:

1.3 #30

Chapter 1 Review problems: 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 27, 28, 29, 30

2.2 #27, 29

Content outline

Concepts

• General vs. particular solutions
• Existence and uniqueness of solutions (theorems)
• Qualitative analysis of solution behavior, including equilibrium solutions and stability

Analytic methods for solving DEs

• Separation of variables
• Integrating factor method
• Various substitution methods

Visualization and qualitative understanding of solution behaviour

• Sketching slope fields
• Sketching solution curves