Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Here's a sample of other books in this Dover category
A First Look at Perturbation Theory by James G. Simmonds, James E. Mann, Jr. This introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. For engineering and physical science undergraduates.
Modern Elementary Differential Equations: Second Edition by Richard Bellman, Kenneth L. Cooke Undergraduate-level text emphasizes application of the theory of differential equations to problems in biology, economics, engineering, and physics.
Ordinary Differential Equations by Jack K. Hale This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
Stability Theory of Differential Equations by Richard Bellman Suitable for advanced undergraduates and graduate students, this text introduces the stability theory and asymptotic behavior of solutions of linear and nonlinear differential equations. 1953 edition.
Stability by Fixed Point Theory for Functional Differential Equations by T. A. Burton The first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques, this text is suitable for advanced undergraduates and graduate students. 2006 edition.
An Introduction to Differential Equations and Their Applications by Stanley J. Farlow This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
Stability & Periodic Solutions of Ordinary & Functional Differential Equations by T. A. Burton This book's discussion of a broad class of differential equations includes linear differential and integrodifferential equations, fixed-point theory, and the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
