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Chapter 7
Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
7.1
Chapter 1. First order differential equations. Section 1.2. Problems at page 17
7.2
Chapter 1. First order differential equations. Section 1.3. Problems at page 27
7.3
Chapter 1. First order differential equations. Section 1.4 (separable equations). Problems at page 43
7.4
Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
7.5
Chapter 1. First order differential equations. Section 1.6 (substitution and exact equations). Problems at page 72
7.6
Chapter 1. First order differential equations. Section 1.7 (population models). Problems at page 82
7.7
Chapter 1. First order differential equations. Review problems at page 98
7.8
Chapter 2. Linear Equations of Higher Order. Section 2.1 (Introduction. Second order linear equations). Problems at page 111
7.9
Chapter 2. Linear Equations of Higher Order. Section 2.2 (General solutions of linear equations). Problems at page 122
7.10
Chapter 2. Linear Equations of Higher Order. Section 2.3 (Homogeneous equations with constant coefficients). Problems at page 134
7.11
Chapter 2. Linear Equations of Higher Order. Section 2.5 (Nonhomogeneous equations and undetermined coefficients). Problems at page 161
7.12
Chapter 2. Linear Equations of Higher Order. Section 2.6 (Forced oscillations and resonance). Problems at page 171
7.13
Chapter 3. Power series methods. Section 3.1 (Introduction). Problems at page 206
7.14
Chapter 3. Power series methods. Section 3.2 (Series solution near ordinary points). Problems at page 216
7.15
Chapter 3. Power series methods. Section 3.3 (Regular singular points). Problems at page 231
7.16
Chapter 3. Power series methods. Section 3.4 (Method of Frobenius: The exceptional cases). Problems at page 246
7.17
Chapter 3. Power series methods. Section 3.6 (Applications of Bessel functions). Problems at page 261
7.18
Chapter 4. Laplace transform methods. Section 4.2 (Transformation of initial value problems). Problems at page 287
7.19
Chapter 4. Laplace transform methods. Section 4.3 (Translation and partial fractions). Problems at page 296
7.20
Chapter 4. Laplace transform methods. Section 4.4 (Derivatives, Integrals and products of transforms). Problems at page 303
7.21
Chapter 4. Laplace transform methods. Section 4.6 (Impulses and Delta functions). Problems at page 324
7.22
Chapter 5. Linear systems of differential equations. Section 5.1 (First order systems and applications). Problems at page 335
7.23
Chapter 5. Linear systems of differential equations. Section 5.2 (Applications). Problems at page 345
7.24
Chapter 5. Linear systems of differential equations. Section 5.3 (Matrices and linear systems). Problems at page 364
7.25
Chapter 5. Linear systems of differential equations. Section 5.4 (The eigenvalue method for homogeneous systems). Problems at page 378
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