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First-Order Partial Differential Equations

Basic handbooks:

  1. E. Kamke, Differentialgleichungen: Losungsmethoden und Losungen, II, Partielle Differentialgleichungen Erster Ordnung fur eine gesuchte Funktion, Akad. Verlagsgesellschaft Geest & Portig, Leipzig, 1965.
  2. A. D. Polyanin, V. F. Zaitsev, and A. Moussiaux, Handbook of First Order Partial Differential Equations, Taylor & Francis, London, 2002.

See also:

  1. A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists (Chapters 13 and T7), Chapman & Hall/CRC Press, Boca Raton–London, 2006.

Remark. The handbook [2] contains many more equations and solutions than those presented in this section of EqWorld.


Handbook of First Order Partial Differential Equations

The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations

Handbook of Mathematics for Engineers and Scientists

Generalized Characteristics of First Order PDEs: Applications in Optimal Control and Differential Games

Partial Differential Equations of First Order and Their Applications to Physics

Generalized Solutions of First Order PDEs: the Dynamical Optimization Perspective

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