Differential Equations and Boundary Value Problems: Computing and Modeling, 5th Edition

For introductory courses in Differential Equations.

This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.

Table of Contents

CHAPTER 1 First-Order Differential Equations
CHAPTER 2 Mathematical Models and Numerical Methods
CHAPTER 3 Linear Equations of Higher Order
CHAPTER 4 Introduction to Systems of Differential Equations
CHAPTER 5 Linear Systems of Differential Equations
CHAPTER 6 Nonlinear Systems and Phenomena
CHAPTER 7 Laplace Transform Methods
CHAPTER 8 Power Series Methods
CHAPTER 9 Fourier Series Methods and Partial Differential Equations
CHAPTER 10 Eigenvalue Methods and Boundary Value Problems
Appendix: Existence and Uniqueness of Solutions