UP
Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Nasser M. Abbasi
January 4, 2023
Compiled on January 4, 2023 at 5:37pm
1
Chapter 1, Introduction. Section 1.2 Page 14
2
Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
3
Chapter 2, First order equations. separable equations. Section 2.2 Page 52
4
Chapter 2, First order equations. Existence and Uniqueness of Solutions of Nonlinear Equations. Section 2.3 Page 60
5
Chapter 2, First order equations. Transformation of Nonlinear Equations into Separable Equations. Section 2.4 Page 68
6
Chapter 2, First order equations. Exact equations. Section 2.5 Page 79
7
Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page 91
8
Chapter 5 linear second order equations. Section 5.1 Homogeneous linear equations. Page 203
9
Chapter 5 linear second order equations. Section 5.6 Reduction or order. Page 253
10
Chapter 5 linear second order equations. Section 5.7 Variation of Parameters. Page 262
11
Chapter 7 Series Solutions of Linear Second Equations. 7.1 Exercises. Page 318
12
Chapter 7 Series Solutions of Linear Second Equations. 7.2 SERIES SOLUTIONS NEAR AN ORDINARY POINT I. Exercises 7.2. Page 329
13
Chapter 7 Series Solutions of Linear Second Equations. 7.3 SERIES SOLUTIONS NEAR AN ORDINARY POINT II. Exercises 7.3. Page 338
14
Chapter 7 Series Solutions of Linear Second Equations. 7.5 THE METHOD OF FROBENIUS I. Exercises 7.5. Page 358
15
Chapter 7 Series Solutions of Linear Second Equations. 7.6 THE METHOD OF FROBENIUS II. Exercises 7.6. Page 374
16
Chapter 7 Series Solutions of Linear Second Equations. 7.6 THE METHOD OF FROBENIUS III. Exercises 7.7. Page 389
17
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.1. Page 471
18
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.2. constant coefficient. Page 483
19
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.3. Undetermined Coefficients for Higher Order Equations. Page 495
20
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.4. Variation of Parameters for Higher Order Equations. Page 503
21
Chapter 10 Linear system of Differential equations. Section 10.4, constant coefficient homogeneous system. Page 540
22
Chapter 10 Linear system of Differential equations. Section 10.5, constant coefficient homogeneous system II. Page 555
23
Chapter 10 Linear system of Differential equations. Section 10.6, constant coefficient homogeneous system III. Page 566