ABSTRACT

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. This book contains more equations and methods used in the field than any other book currently available.

Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more.

This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

part I|364 pages

Methods for Ordinary Differential Equations

chapter 8|13 pages

Chapter 8: Elements of Bifurcation Theory

chapter 11|42 pages

Chapter 11: Group Methods for ODES

chapter 12|10 pages

Chapter 12: Discrete-Group Methods

part II|754 pages

Exact Solutions of Ordinary Differential Equations

part III|166 pages

Symbolic and Numerical Solutions of ODEs with Maple, Mathematica, and MATLAB

part IV|124 pages

Supplements