Ordinary Differential Equations and Their Solutions (Dover Books on Mathematics)

This two-part treatment presents most of the methods for solving ordinary differential equations as well as systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that math students and professionals can readily locate standard equations. Plus, the substantial number and variety of equations assures users of finding either an exact equation or a sufficiently similar one.
Part I considers differential equations of the first order, with separate sections on those of the first degree and those of the second or higher degree, as well as linear and nonlinear differential equations of the second order and of an order greater than two. Part II presents tables of equations and solutions organized in precisely the same manner. The book concludes with an index of equation types, a bibliography, and a general index.