Handbook of ordinary differential equations: exact solutions, methods, and problems

The new edition of this popular handbook contains more equations and methods used in the field than any other book currently available. Encompassing more than 7,000 ODEs with solutions, it presents many asymptotic, approximate analytical, symbolic, and quantitative methods used for analyzing and solving linear and nonlinear equations. This edition covers first-, second-, third-, fourth- and higher-order differential equations and systems along with new nonlinear equations, formulas for effectively constructing solutions, and various equations arising in applications, such as heat and mass transfer, hydrodynamics, and other areas. --

"A Chapman & Hall book."

Methods for first-order differential equations -- Methods for second-order linear differential equations -- Methods for second-order nonlinear differential equations -- Methods for linear ODEs of arbitrary order -- Methods for nonlinear ODEs of arbitrary order -- Methods for linear systems of ODEs -- Methods for nonlinear systems of ODEs -- Elements of bifurcation theory -- Elementary theory of using invariants for solving equations -- Methods for the construction of particular solutions -- Group methods for ODEs -- Discrete-group methods -- First-order ordinary differential equations -- Second-order ordinary differential equations -- Third-order ordinary differential equations -- Fourth-order ordinary differential equations -- Higher-order ordinary differential equations -- Some systems of ordinary differential equations -- Symbolic and numerical solutions of ODEs with Maple -- Symbolic and numerical solutions of ODEs with mathematica -- Symbolic and numerical solutions of ODEs with MATLAB.