ELEMENTARY DIFFERENTIAL EQUATIONS 6/E (S-PIE) (Without Fourier Series Methods an

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.

CHAPTER1 First-Order Differential Equations 1

CHAPTER2 Linear Equations of Higher Order 100

CHAPTER3 Power Series Methods 194

CHAPTER4 Laplace Transform Methods 266

CHAPTER5 Linear Systems of Differential Equations 326

CHAPTER6 Numerical Methods 430

CHAPTER7 Nonlinear Systems and Phenomena 480

References for Further Study 555

Appendix: Existence and Uniqueness of Solutions 559

Answers to Selected Problems 573

Index I-1