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Chapter 58
Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
58.1
Chapter 1, Differential equations and their solutions. Exercises page 13
58.2
Chapter 1, section 1.3. Exercises page 22
58.3
Chapter 2, section 2.1 (Exact differential equations and integrating factors). Exercises page 37
58.4
Chapter 2, section 2.2 (Separable equations). Exercises page 47
58.5
Chapter 2, section 2.3 (Linear equations). Exercises page 56
58.6
Chapter 2, Miscellaneous Review. Exercises page 60
58.7
Chapter 2, Section 2.4. Special integrating factors and transformations. Exercises page 67
58.8
Chapter 4, Section 4.1. Basic theory of linear differential equations. Exercises page 113
58.9
Chapter 4, Section 4.1. Basic theory of linear differential equations. Exercises page 124
58.10
Chapter 4, Section 4.2. The homogeneous linear equation with constant coefficients. Exercises page 135
58.11
Chapter 4, Section 4.3. The method of undetermined coefficients. Exercises page 151
58.12
Chapter 4, Section 4.4. Variation of parameters. Exercises page 162
58.13
Chapter 4, Section 4.5. The Cauchy-Euler Equation. Exercises page 169
58.14
Chapter 6, Series solutions of linear differential equations. Section 6.1. Exercises page 232
58.15
Chapter 6, Series solutions of linear differential equations. Section 6.2 (Frobenius). Exercises page 251
58.16
Chapter 7, Systems of linear differential equations. Section 7.1. Exercises page 277
58.17
Chapter 7, Systems of linear differential equations. Section 7.3. Exercises page 299
58.18
Chapter 7, Systems of linear differential equations. Section 7.4. Exercises page 309
58.19
Chapter 7, Systems of linear differential equations. Section 7.7. Exercises page 375
58.20
Chapter 9, The Laplace transform. Section 9.3, Exercises page 452
58.21
Chapter 11, The nth order homogeneous linear differential equation. Section 11.6, Exercises page 567
58.22
Chapter 11, The nth order homogeneous linear differential equation. Section 11.8, Exercises page 583
58.23
Chapter 12, Sturm-Liouville problems. Section 12.1, Exercises page 596
58.24
Chapter 13, Nonlinear differential equations. Section 13.2, Exercises page 656
58.25
Chapter 13, Limit cycles and periodic solutions. Section 13.4, Exercises page 706
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