Introduction -- First order differential equations -- Approximation methods for first order differential equations -- Applications of first order differential equations -- Linear differential equations with constant coefficients -- Series solutions to first order linear differential equations -- Series solutions to second order homogeneous differential equations -- Approximation methods for second order homogeneous differential equations -- Special functions and Sturm-Liouville equations -- Definition and properties of laplace transforms -- Solutions to differential equations by laplace transform methods -- Systems of linear differential equations -- Approximate solutions to coupled first order linear differential equations.

"This book is for students in a first course in ordinary differential equations. The material is organized so that the presentations begin at a reasonably introductory level. Subsequent material is developed from this beginning. As such, readers with little experience can start at a lower level, while those with some experience can use the beginning material as a review, or skip this part to proceed to the next level. The book contains methods of approximation to solutions of various types of differential equations with practical applications, which will serve as a guide to programming so that such differential equations can be solved numerically with the use of a computer. Students who intend to pursue a major in engineering, physical sciences, or mathematics will find this book useful"--Publisher's website.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Includes bibliographical references and index.