Handbook of ordinary differential equations. (Q2782025)

This nice handbook provides the reader with the description of about 5.200 ordinary differential equations with their solutions. Choosing material for the book, the authors pay special attention to the following two types of equations: (a) equations of simple form which are difficult to integrate (for instance, Abel's and Emden-Fowler equations), and (b) equations which are frequently encountered in applications (heat transfer, nonlinear mechanics, hydrodynamics, combustion, etc.). NEWLINENEWLINENEWLINEThe book briefly introduces the reader to exact, asymptotic, and numerical methods for solving ordinary differential equations, gives exact solutions and useful transformations for many classes of equations, discusses exact and asymptotic solutions to many problems in nonlinear mechanics and theoretical physics. In addition, fundamental properties of some elementary and special functions are collected in the Appendices. This handbook is a valuable tool for researchers, engineers and students dealing with ordinary differential equations. Exact solutions and various asymptotic and numerical methods have their independent interest as well.