1 Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS. Page 9
2 Chapter 1. What is a differential equation. Section 1.3 SEPARABLE EQUATIONS. Page 12
3 Chapter 1. What is a differential equation. Section 1.4 First Order Linear Equations. Page 15
4 Chapter 1. What is a differential equation. Section 1.5. Exact Equations. Page 20
5 Chapter 1. What is a differential equation. Section 1.7. Homogeneous Equations. Page 28
6 Chapter 1. What is a differential equation. Section 1.8. Integrating Factors. Page 32
7 Chapter 1. What is a differential equation. Section 1.9. Reduction of Order. Page 38
8 Chapter 1. What is a differential equation. Problems for Review and Discovery. Page 53
9 Chapter 2. Second-Order Linear Equations. Section 2.1. Linear Equations with Constant Coefficients. Page 62
10 Chapter 2. Second-Order Linear Equations. Section 2.2. THE METHOD OF UNDETERMINED COEFFICIENTS. Page 67
11 Chapter 2. Second-Order Linear Equations. Section 2.3. THE METHOD OF VARIATION OF PARAMETERS. Page 71
12 Chapter 2. Second-Order Linear Equations. Section 2.4. THE USE OF A KNOWN SOLUTION TO FIND ANOTHER. Page 74
13 Chapter 2. Section 2.7. HIGHER ORDER LINEAR EQUATIONS, COUPLED HARMONIC OSCILLATORS Page 98
14 Chapter 2. Problems for Review and Discovery. Drill excercises. Page 105
15 Chapter 2. Problems for Review and Discovery. Challenge excercises. Page 105
16 Chapter 2. Problems for Review and Discovery. Problems for Discussion and Exploration. Page 105
17 Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of First-Order Differential Equations Page 162
18 Chapter 4. Power Series Solutions and Special Functions. Section 4.3. Second-Order Linear Equations: Ordinary Points. Page 169
19 Chapter 4. Power Series Solutions and Special Functions. Section 4.4. REGULAR SINGULAR POINTS. Page 175
20 Chapter 4. Power Series Solutions and Special Functions. Section 4.5. More on Regular Singular Points. Page 183
21 Chapter 4. Power Series Solutions and Special Functions. Section 4.6. Gauss’s Hypergeometric Equation. Page 187
22 Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert. (A) Drill Exercises . Page 194
23 Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert. (B) Challenge Problems . Page 194
24 Chapter 7. Laplace Transforms. Section 7.5 The Unit Step and Impulse Functions. Page 303
25 Chapter 7. Laplace Transforms. Section 7.5 Problesm for review and discovery. Section A, Drill exercises. Page 309
26 Chapter 7. Laplace Transforms. Section 7.5 Problesm for review and discovery. Section B, Challenge Problems. Page 310
27 Chapter 10. Systems of First-Order Equations. Section 10.2 Linear Systems. Page 380
28 Chapter 10. Systems of First-Order Equations. Section 10.3 Homogeneous Linear Systems with Constant Coefficients. Page 387
29 Chapter 10. Systems of First-Order Equations. Section A. Drill exercises. Page 400
30 Chapter 10. Systems of First-Order Equations. Section B. Challenge Problems. Page 401