MTH 225 - Differential Equations
Practice Homework Assignments - Material for Test #1
P. Seeburger
*Problems with a 6 subscript are only for those using the 6th edition of the text and problem numbers with a 7 subscript
are only for those using the 7th edition.
Chapter 1: Introduction to Differential Equations
• Section 1.1: Definitions and Terminology
problems: 5, 7, 9, 13, 19, 23, 27
•
Section 1.2: Initial-Value Problems
problems: 1, 9, 11
Chapter 2: First-Order Differential Equations
• Section 2.1: Direction Fields & Autonomous 1st-Order Differential Equations (my title)
problems: 1 – 9 odd, 19 – 27 odd, 397*(not in 6th), 396*, 407*, 417
•
Section 2.2: Separable Variables
problems: 7,9, 17, 21, 23, 27, 297(not in 6th), 316*, 337*
•
Section 2.3: Linear Equations
problems: 5, 7, 15, 17, 19, 27, 31
•
Section 2.4: Exact Equations
problems: 3, 7, 9, 13, 25, 33, 35, 37
Chapter 3: Modeling with First-Order Differential Equations
• Section 1.3: Differential Equations as Mathematical Models
problems: 3, 7, 9, 15, 17, 237, 25, 276; You should also read this section thoroughly.
•
Section 3.1: Linear Models
problems: 3, 5, 9, 11, 13, 15, 197(only 7th), 216, 23, 25, 27, 29, 31, 33, 357, 416, 437
•
Section 3.2: Nonlinear Models
problems: 1, 3, 5, 6, 7, 9, 13(a), 15
•
Orthogonal Trajectories (supplemented)
problems: See handout.
•
Section 2.5: Solutions by Substitutions
problems: 5, 7, 9, 11, 15-29 odd
You are expected to attempt every problem on this list and ask questions when you have difficulty.
It is recommended that you complete additional problems to help you master the material more
fully. I may recommend additional exercises in class as we cover the material.