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Chapter 78
DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.

78.1 Chapter 1. The Nature of Differential Equations. Separable Equations. Section 2. Problems at page 9
78.2 Chapter 1. The Nature of Differential Equations. Separable Equations. Section 5. Problems at page 37
78.3 Chapter 2. First order equations. Section 7 (Homogeneous Equations). Problems at page 67
78.4 Chapter 2. First order equations. Section 8 (Exact Equations). Problems at page 72
78.5 Chapter 2. First order equations. Section 9 (Integrating Factors). Problems at page 80
78.6 Chapter 2. First order equations. Section 10 (Linear equations). Problems at page 82
78.7 Chapter 2. First order equations. Section 11 (Reduction of order). Problems at page 87
78.8 Chapter 2. First order equations. Miscellaneous Problems for Chapter 2. Problems at page 99
78.9 Chapter 3. Second order linear equations. Section 14. Introduction. Problems at page 112
78.10 Chapter 3. Second order linear equations. Section 15. The General Solution of the Homogeneous Equation. Problems at page 117
78.11 Chapter 3. Second order linear equations. Section 16. The Use of a Known Solution to find Another. Problems at page 121
78.12 Chapter 3. Second order linear equations. Section 17. The Homogeneous Equation with Constant Coefficients. Problems at page 125
78.13 Chapter 3. Second order linear equations. Section 18. The Method of Undetermined Coefficients. Problems at page 132
78.14 Chapter 3. Second order linear equations. Section 19. The Method of Variation of Parameters. Problems at page 135
78.15 Chapter 3. Second order linear equations. Section 22. Higher Order Linear Equations. Coupled Harmonic Oscillators. Problems at page 160
78.16 Chapter 3. Second order linear equations. Section 23. Operator Methods for Finding Particular Solutions. Problems at page 169
78.17 Chapter 5. Power Series Solutions and Special Functions. Section 27. Series Solutions of First Order Equations. Problems at page 208
78.18 Chapter 5. Power Series Solutions and Special Functions. Section 28. Second Order Linear Equations. Ordinary Points. Problems at page 217
78.19 Chapter 5. Power Series Solutions and Special Functions. Section 29. Regular singular Points. Problems at page 227
78.20 Chapter 5. Power Series Solutions and Special Functions. Section 30. Regular singular Points (continued). Problems at page 235
78.21 Chapter 5. Power Series Solutions and Special Functions. Section 31. Gauss Hypergeometric Equation. Problems at page 240
78.22 Chapter 5. Power Series Solutions and Special Functions. Section 32. The point at infinity. Problems at page 244
78.23 Chapter 9. Laplace transforms. Section 50. Applications to differential equations. Problems at page 462
78.24 Chapter 9. Laplace transforms. Section 51. Derivatives and Integrals of Laplace Transforms. Problems at page 467
78.25 Chapter 9. Laplace transforms. Section 52. Convolutions and Abels Mechanical Problem. Problems at page 474
78.26 Chapter 9. Laplace transforms. Section 53. More about Convolutions. The Unit Step and Impulse Functions. Problems at page 481
78.27 Chapter 10. Systems of First Order Equations. Section 55. Linear systems. Problems at page 496
78.28 Chapter 10. Systems of First Order Equations. Section 56. Homogeneous Linear Systems with Constant Coefficients. Problems at page 505
78.29 Chapter 10. Systems of First Order Equations. Section 60. Critical Points and Stability for Linear Systems. Problems at page 539
78.30 Chapter 11. Nonlinear Equations. Section 64. Periodic Solutions. The PoincareBendixson Theorem. Problems at page 570

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