Introduction to Ordinary Differential Equations

The Fourth Edition of the best-selling text on the basic concepts, theory, methods, and applications of ordinary differential equations retains the clear, detailed style of the first three editions. Includes new material on matrix methods, numerical methods, the Laplace transform, and an appendix on polynomial equations. Stresses fundamental methods, and features traditional applications and brief introductions to the underlying theory. Differential Equations and Their Solutions.

First-Order Equations for Which Exact Solutions AreObtainable.

Applications of First-Order Equations.

Explicit Methods of Solving Higher-Order Linear DifferentialEquations.

Applications of Second-Order Linear Differential Equations withConstant Coefficients.

Series Solutions of Linear Differential Equations.

Systems of Linear Differential Equations.

Approximate Methods of Solving First-Order Equations.

The Laplace Transform.

Appendices.

Suggested Reading.

Answers to Odd-Numbered Exercises.

Index.

Shepley L. Ross is the author of Introduction to Ordinary Differential Equations, 4th Edition, published by Wiley.