Handbook of First-Order Partial Differential Equations

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. Each section outlines basic solution methods for the differential equations in that section. The text presents equations and their applications in areas such as differential geometry, nonlinear mechanics, gas dynamics, he...