Publisher's Synopsis
This is a systematic demonstration of about 3000 first order partial differential equations presenting the solutions in a clear way. In the process, many new and exact solutions to linear and nonlinear equations are detailed. The handbook is presented in chapters, sections and subsections to aid the reader. Within each subsection the equations are arranged in order of increasing complexity. Each chapter opens with preliminary remarks outlining the basic analytical methods for solving the equations and with some methods given in a schematic and simplified manner.;This text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. It presents equations and their applications; these include differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. Later chapters outline methods for solving first order partial differential equations and presents examples which show how the methods can be applied to specific equations. Other equations contain one or more free parameters (dealing with families of differential equations) which allows the reader to fix these parameters while solving the equations.
