Introduction to Ordinary Differential Equations, 4th Edition

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.