Introduction to ordinary differential equations

Differential Equations and Their Solutions. First--Order Equations for Which Exact Solutions Are Obtainable. Applications of First--Order Equations. Explicit Methods of Solving Higher--Order Linear Differential Equations. Applications of Second--Order Linear Differential Equations with Constant 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.