Book Description: This collection of solved problem covers analytical techniques for solving differential equations. It is meant to be used as both a supplement for traditional courses in differential equations and a reference book for engineers and scientists interested in particular application. The only prerequisite for understanding the material in this book is calculus.
The material within each chapter and the ordering of chapters are standard. The book begins with methods for solving first-order differential equations and continues through linear differential equations. In this latter category we include the methods of variation of parameters and undetermined coefficients, Laplace transforms, matrix methods, and boundary-value problems. Much of emphasis is on second-order equations, but extensions to higher-order equations are also demonstrated.
Two chapters are devoted exclusively to applications, so readers interested in a particular type can go directly to the appropriate section. Problems in these chapters are cross-referenced to solution procedures in previous chapters. By utilizing this referencing system, readers can limit themselves to just those techniques that have value within a particular application.