# Handbook of First-Order Partial Differential Equations

CRC Press, 15.11.2001 - 520 Seiten
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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.

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### Inhalt

 Linear Equations of the Form fxy og gx y Oy hx 3 92 12 Linear Equations With Three or More Independent Variables 139 Linear Equations of the Form fio + f2 SW + f3 196 Linear Equations of the Form fi + f2e + f3 faw + fs fn fnxyz 225 Linear Equations With Four or More Independent Variables 250 225 261 Quasilinear Equations of the Form fxyw w + gx y 273
 48 284 Equations With Two Independent Variables Quadratic in Derivatives 317 Nonlinear Equations With Two Independent Variables of General Form 370 Nonlinear Equations With Three or More Independent Variables 410 Supplement Solution of Differential Equations Through the CONVODE Software 469 Examples of Solving Partial Differential Equations 481 How to Use CONVODE 490 Index 497

 30 278 Linear Equations of the Form fxy + gxy Ow hıx yw + hox 281
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### Verweise auf dieses Buch

 Handbook of Linear Partial Differential Equations for Engineers and ScientistsAndrei D. PolyaninKeine Leseprobe verfügbar - 2001
 Handbook of Nonlinear Partial Differential EquationsKeine Leseprobe verfügbar - 2003