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Chapter 50
Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
50.1
Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS. Page 9
50.2
Chapter 1. What is a differential equation. Section 1.3 SEPARABLE EQUATIONS. Page 12
50.3
Chapter 1. What is a differential equation. Section 1.4 First Order Linear Equations. Page 15
50.4
Chapter 1. What is a differential equation. Section 1.5. Exact Equations. Page 20
50.5
Chapter 1. What is a differential equation. Section 1.7. Homogeneous Equations. Page 28
50.6
Chapter 1. What is a differential equation. Section 1.8. Integrating Factors. Page 32
50.7
Chapter 1. What is a differential equation. Section 1.9. Reduction of Order. Page 38
50.8
Chapter 1. What is a differential equation. Problems for Review and Discovery. Page 53
50.9
Chapter 2. Second-Order Linear Equations. Section 2.1. Linear Equations with Constant Coefficients. Page 62
50.10
Chapter 2. Second-Order Linear Equations. Section 2.2. THE METHOD OF UNDETERMINED COEFFICIENTS. Page 67
50.11
Chapter 2. Second-Order Linear Equations. Section 2.3. THE METHOD OF VARIATION OF PARAMETERS. Page 71
50.12
Chapter 2. Second-Order Linear Equations. Section 2.4. THE USE OF A KNOWN SOLUTION TO FIND ANOTHER. Page 74
50.13
Chapter 2. Section 2.7. HIGHER ORDER LINEAR EQUATIONS, COUPLED HARMONIC OSCILLATORS Page 98
50.14
Chapter 2. Problems for Review and Discovery. Drill excercises. Page 105
50.15
Chapter 2. Problems for Review and Discovery. Challenge excercises. Page 105
50.16
Chapter 2. Problems for Review and Discovery. Problems for Discussion and Exploration. Page 105
50.17
Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of First-Order Differential Equations Page 162
50.18
Chapter 4. Power Series Solutions and Special Functions. Section 4.3. Second-Order Linear Equations: Ordinary Points. Page 169
50.19
Chapter 4. Power Series Solutions and Special Functions. Section 4.4. REGULAR SINGULAR POINTS. Page 175
50.20
Chapter 4. Power Series Solutions and Special Functions. Section 4.5. More on Regular Singular Points. Page 183
50.21
Chapter 4. Power Series Solutions and Special Functions. Section 4.6. Gauss Hypergeometric Equation. Page 187
50.22
Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert. (A) Drill Exercises . Page 194
50.23
Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert. (B) Challenge Problems . Page 194
50.24
Chapter 7. Laplace Transforms. Section 7.5 The Unit Step and Impulse Functions. Page 303
50.25
Chapter 7. Laplace Transforms. Section 7.5 Problesm for review and discovery. Section A, Drill exercises. Page 309
50.26
Chapter 7. Laplace Transforms. Section 7.5 Problesm for review and discovery. Section B, Challenge Problems. Page 310
50.27
Chapter 10. Systems of First-Order Equations. Section 10.2 Linear Systems. Page 380
50.28
Chapter 10. Systems of First-Order Equations. Section 10.3 Homogeneous Linear Systems with Constant Coefficients. Page 387
50.29
Chapter 10. Systems of First-Order Equations. Section A. Drill exercises. Page 400
50.30
Chapter 10. Systems of First-Order Equations. Section B. Challenge Problems. Page 401
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