Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the 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.
Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering.
The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book.
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions.
[76] M. Spivak, Calculus on manifolds, W. A. Benjamin, New York. [77] M. Stein, Loads and deformations of buckled rectangular plates, NASA Technical Report R-40 (1959). R. Stott, Darwin and the barnacle, Faber and Faber Limited, London, ...
This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises.
Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume.
The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical ...
All the methods given in the book are explained with the help of solved examples. A large number of unsolved exercises have also been provided on each topic."--BOOK JACKET.
The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations.
McLachlan, N. W., Ordinary Non-Linwr Difierential Equations in Engineering and Physical Sciences, 2nd edition, Oxford University Press, New York, 1956. Meyer zur Capellen, Walther, Integraltafeln. Sammlung unbestimmter Integrate ...