This revised introduction to the basic methods, theory and applications of elementary differential equations
employs a two part organization. Part I includes all the basic material found in a one semester introductory course
in ordinary differential equations. Part II introduces students to certain specialized and more advanced methods,
as well as providing a systematic introduction to fundamental theory.
Table of Contents
FUNDAMENTAL METHODS AND APPLICATIONS.
First-Order Equations for Which Exact Solutions Are Obtainable.
Explicit Methods of Solving Higher-Order Linear Differential Equations.
Series Solutions of Linear Differential Equations.
Approximate Methods of Solving First-Order Equations.
FUNDAMENTAL THEORY AND FURTHER METHODS.
Existence and Uniqueness Theory.
Sturm-Liouville Boundary-Value Problems and Fourier Series.
Partial Differential Equations.
