A clear, concise book that emphasizes finding solutions to differential equations where applications play an important role. Each chapter includes many illustrative examples to assist the reader. KEY TOPICS: The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

1. Definitions, Families of Curves
2. Equations of Order One
3. Numerical Methods
4. Elementary Applications
5. Additional Topics on Equations of Order One
6. Linear Differential Equations
7. Linear Equations with Constrant Coefficients
8. Nonhomogeneous Equations: Undetermined Coefficients
9. Variation of Parameters
10. Applications
11. Linear Systems of Equations
12. Nonhomogeneous Systems of Equations
13. The Existence and Uniqueness of Solutions
14. The Laplace Transform
15. Inverse Transforms
16. Nonlinear Equations
17. Power Series Solutions
18. Solutions Near Regular Singular Points
19. Equations of Hypergeometric Type
20. Partial Differential Equations
21. rthogonal Sets of Functions
22. Fourier Series
23. Boundary Value Problems
24. Additional Properties of the laplace Transform
25. Partial Differential Equations Transform Methods
Answers to Odd-numbered Exercises

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