Handbook of Exact Solutions for Ordinary Differential Equations

Valentin F. Zaitsev, Andrei D. Polyanin

Chapman and Hall/CRC
Published October 28, 2002
Reference - 816 Pages - 4 B/W Illustrations
ISBN 9781584882978 - CAT# C2972

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  • Contains solutions to more than 6200 ODEs-more than any other reference available
  • Offers introductory material describing key concepts, theorems, and methods
  • Pays special attention to equations dependent on arbitrary functions
  • Covers Abel, Emden-Fowler, and Painlevé equations
  • Includes supplemental material on the gamma, beta, Bessel, Legendre, Weierstrass, hypergeometric, and other special functions
  • Summary

    Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including:

  • An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations
  • The addition of solutions to more than 1200 nonlinear equations
  • An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily
  • Expansion of the supplement on special functions

    This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.
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