Bateman H. Differential Equations

Nabu Press, 2010. — 322 p. — ISBN: 1142424553, 9781142424558.The subject of Differential Equations has grown so rapidly in recent years that it is difficult to do justice to all branches of the subject in a single volume. In writing this book I have endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions. The chapters on partial differential equations have consequently been devoted almost entirely to the discussion of linear equations.Differential Equations and their Solutions
Integrating Factors
Transformations
Geometrical Applications
Differential Equations with Particular Solutions of a Specified Type
Partial Differential Equations
Total Differential Equations
Partial Differential Equations of the Second Order
Integration in Series
The solution of Linear Differential Equations by Means of Definite Integrals
The Mechanical Integration of Differential Equations