Handbook of First-Order Partial Differential Equations

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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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