Handbook of First-Order Partial Differential Equations

A reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences, this title contains about 3000 first order partial differential equations with solutions.
Concise and 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. This handbook is presented in chapters, sections and subsections to aid the reader. Within each subsection the equations are arranged in order of increasing complexity. The text pays special attention to equations of the general form, showing their dependence upon arbitary functions. It presents equations and their applications; these include differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and others.