Handbook of First-Order Partial Differential Equations

Handbook of First-Order Partial Differential Equations

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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. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.+ Fix, a€” a€” , a€” a€” = g(x)w + hi(x)y + h2(x)z. ox \ ay az J Complete integral: w = yp( x) + zt/agt;(x) + x(x)a#39; where Ayagt;(x) = C, G(x) + ... ip(x) are determined by solving the system of ordinary differential equations alt;Pi + (fn-g)alt;fi\ +hiVi = h\, (1) alt;P2 + h i fi + anbsp;...

Title:Handbook of First-Order Partial Differential Equations
Author: Andrei D. Polyanin, Valentin F. Zaitsev, Alain Moussiaux
Publisher:CRC Press - 2001-11-15

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