Differential Equations: A Modeling Perspective, 2nd Edition

by Robert L. Borrelli (Harvey Mudd College); Courtney S. Coleman (Harvey Mudd College)

• ISBN13: 9780471433323
• ISBN10: 0471433322
• Edition: 2nd
• Format: Hardcover
• Copyright: 2004-01-01
• Publisher: Wiley

Summary

Work more effectively and gauge your progress along the way!  This Student Resource Manual contains worked-out solutions to approximately half of the problems in Borrelli's "Differential Equations, 2nd Edition,"  In addition to problem solutions, it offers graphs, suggestions for students and additional resource material. With the modeling and graphical visualization as the central approach, Borrelli's Differential Equations, 2nd Edition introduces differential systems and numerical methods early on and encourages the use of numerical solvers from the very start.  It covers modern topics such as sensitivity, long-term behavior, bifurcation, and chaos together with the basic solution formula techniques and theory.

Table of Contents

1. Modeling and Differential Equations.

2. First-Order Differential Equations.

3. Second-Order Differential Equations.

4. Applications of Second-Order Differential Equations.

5. The Laplace Transform.

6. Linear Systems of Differential Equations.

7. Nonlinear Differential Systems.

8. Stability.

9. Nonlinear Systems: Cycles and Chaos.

10. Fourier Series and Partial Differential Equations.

11. Series Solutions.

Appendix A: Basic Theory of Initial Value Problems.

Appendix B: Background Information.

Answers to Selected Problems.

Index.