A course in ordinary differential equations

This text deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions and covers all the important numerical methods for differential equations.

Introduction and Basic Concepts Solvable First Order Equations Applications of First Order Equations Theoretical Considerations Linear Differential Equations I Linear Differential Equations II Systems of Differential Equations Laplace Transforms Power Series Methods Numerical Methods