Elementary Differential Equations with Boundary Value Problems 6/E (PNIE)

For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus.

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.

Features
• Proven chapter and section structure of the book is unchanged – Instructors' notes and syllabi will not require revision to continue teaching with the Sixth Edition.

• A solid numerical emphasis – Includes generic numerical algorithms and a limited number of illustrative graphic calculator, BASIC, and MATLAB routines.

• Wide range of choices regarding breadth and depth of coverage – The first few sections of most chapters introduce the principal ideas of each topic, with remaining sections devoted to extensions and applications.

• Computer-generated figures – Includes graphics using Mathematica or MATLAB; shows students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life.

• Application Modules – Follow appropriate sections in the book; give students concrete applied emphasis and engages them in more extensive investigations than in typical exercises and problems.

• Instructor's Solutions Manual – Provides worked-out solutions for most of the problems in the book.

• Student Solutions Manual – Contains solutions for most of the odd-numbered problems.

New to this Edition
 New graphics and new text inserted where needed for improved student accessibility and understanding of difficult concepts.

1 First-Order Differential Equations

2 Linear Equations of Higher Order

3 Power Series Methods

4 LaplaceTransform Methods

5 Linear Systems of Differential Equations

6 Numerical Methods

7 Nonlinear Systems and Phenomena

8 Eigenvalues and Boundary Value Problems

9 Fourier Series Methods

Appendix: Existence and Uniqueness of Solutions

Answers to Selected Problems