The Sixth Edition of this widely adopted book remains the same classic differential equations text it's always been, but has been polished and sharpened to serve both instructors and students even more effectively. Edwards and Penney teach students to first solve those differential equations that have the most frequent and interesting applications. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques. Table of Content: 1 First-Order Differential Equations 2 Linear Equations of Higher Order 3 Power Series Methods 4 Laplace Transform Methods 5 Linear Systems of Differential Equations 6 Numerical Methods 7 Nonlinear Systems and Phenomena 8 Fourier Series Methods 9 Eigenvalues and Boundary Value Problems References for Further Study Appendix: Existence and Uniqueness of Solutions Answers to Selected Problems Index I-1 Salient Features: 1.Proven chapter and section structure of the book is unchanged 2.A solid numerical emphasis 3.Wide range of choices regarding breadth and depth of coverage 4. Computer-generated figures 5.Application Modules 6.Instructor's Solutions Manual 7.Student Solutions Manual