A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists, Chapman & Hall/CRC Press, 2006 To book contents

T7. First-Order Partial Differential Equations

• T7.1. Linear Equations
  • T7.1.1. Equations of the Form f(x, y)w_x + g(x, y)w_y = 0
  • T7.1.2. Equations of the Form f(x, y)w_x + g(x, y)w_y = h(x, y)
  • T7.1.3. Equations of the Form f(x, y)w_x + g(x, y)w_y = h(x, y)w + r(x, y)
• T7.2. Quasilinear Equations
  • T7.2.1. Equations of the Form f(x, y)w_x + g(x, y)w_y = h(x, y, w)
  • T7.2.2. Equations of the Form w_x + f(x, y, w)w_y = 0
  • T7.2.3. Equations of the Form w_x + f(x, y, w)w_y = g(x, y, w)
• T7.3. Nonlinear Equations
  • T7.3.1. Equations Quadratic in One Derivative
  • T7.3.2. Equations Quadratic in Two Derivatives
  • T7.3.3. Equations with Arbitrary Nonlinearities in Derivatives
• References for Chapter T7

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