Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation.

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the ...

Originally published: San Francisco: W.H. Freeman, 1963.

Beginning with a comprehensive treatment of linear differential equations with variable coefficients, the text gives a detailed discussion on some well-known special functions which provide solutions of secondorder linear ordinary ...

Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems.

The Present Book Differential Equations Provides A Detailed Account Of The Equations Of First Order And The First Degree, Singular Solutions And Orthogonal Trajectories, Linear Differential Equations With Constant Coefficients And Other ...

This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises.

In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0.

Graphical methods of analysis are emphasized over formal proofs, making the text even more accessible for newcomers to the subject matter.