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Chapter 12
Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
12.1
Chapter 1, Introduction. Section 1.2 Page 14
12.2
Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
12.3
Chapter 2, First order equations. separable equations. Section 2.2 Page 52
12.4
Chapter 2, First order equations. Existence and Uniqueness of Solutions of Nonlinear Equations. Section 2.3 Page 60
12.5
Chapter 2, First order equations. Transformation of Nonlinear Equations into Separable Equations. Section 2.4 Page 68
12.6
Chapter 2, First order equations. Exact equations. Section 2.5 Page 79
12.7
Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page 91
12.8
Chapter 5 linear second order equations. Section 5.1 Homogeneous linear equations. Page 203
12.9
Chapter 5 linear second order equations. Section 5.6 Reduction or order. Page 253
12.10
Chapter 5 linear second order equations. Section 5.7 Variation of Parameters. Page 262
12.11
Chapter 7 Series Solutions of Linear Second Equations. 7.1 Exercises. Page 318
12.12
Chapter 7 Series Solutions of Linear Second Equations. 7.2 SERIES SOLUTIONS NEAR AN ORDINARY POINT I. Exercises 7.2. Page 329
12.13
Chapter 7 Series Solutions of Linear Second Equations. 7.3 SERIES SOLUTIONS NEAR AN ORDINARY POINT II. Exercises 7.3. Page 338
12.14
Chapter 7 Series Solutions of Linear Second Equations. 7.5 THE METHOD OF FROBENIUS I. Exercises 7.5. Page 358
12.15
Chapter 7 Series Solutions of Linear Second Equations. 7.6 THE METHOD OF FROBENIUS II. Exercises 7.6. Page 374
12.16
Chapter 7 Series Solutions of Linear Second Equations. 7.6 THE METHOD OF FROBENIUS III. Exercises 7.7. Page 389
12.17
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.1. Page 471
12.18
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.2. constant coefficient. Page 483
12.19
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.3. Undetermined Coefficients for Higher Order Equations. Page 495
12.20
Chapter 9 Introduction to Linear Higher Order Equations. Section 9.4. Variation of Parameters for Higher Order Equations. Page 503
12.21
Chapter 10 Linear system of Differential equations. Section 10.4, constant coefficient homogeneous system. Page 540
12.22
Chapter 10 Linear system of Differential equations. Section 10.5, constant coefficient homogeneous system II. Page 555
12.23
Chapter 10 Linear system of Differential equations. Section 10.6, constant coefficient homogeneous system III. Page 566
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