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[parent] index of differential equations (Topic)

Differential equations for functions on $ \mathbbmss{R}$

  1. Separation of variables
  2. Exact differential equation
  3. Linear differential equation of first order
  4. Second order linear differential equation with constant coefficients
  5. General solution of linear differential equation
  6. Chebyshev equation
  7. Laguerre's differential equation
  8. Bernoulli equation
  9. Hypergeometric equation
  10. d'Alembert's equation
  11. Clairaut's equation
  12. Hermite equation
  13. Bessel's equation
  14. Riccati equation

Ordinary differential equations

  1. Linear ordinary differential equations
  2. Frenet equations
  3. Hamilton equations
  4. Geodesic equation
  5. Gradient system
  6. Lorenz equation

Partial differential equations

  1. Gradient system
  2. Euler-Lagrange equations
  3. Hamilton equations
  4. Heat equation
  5. Laplace equation
  6. Poisson's equation
  7. Wave equation
  8. Helmholtz equation
  9. Maxwell's equations
  10. Korteweg - de Vries equation
  11. Schrödinger's wave equation
  12. Dirac equation
  13. Klein-Gordon equation
  14. Hamilton-Jacobi equation
  15. Telegraph equation
  16. Black-Scholes equation
  17. Solved examples:
    a) example of solving the heat equation
    b) time-dependent example of heat equation
    c) solving the wave equation due to D. Bernoulli

Complex

  1. Beltrami differential equation
  2. Cauchy-Riemann equations



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See Also: Clairaut's equation


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Cross-references: Cauchy-Riemann equations, Beltrami differential equation, time-dependent example of heat equation, example of solving the heat equation, Black-Scholes equation, telegraph equation, Klein-Gordon equation, Dirac equation, Schrödinger's wave equation, Korteweg - de Vries equation, Maxwell's equations, Helmholtz equation, wave equation, Poisson's equation, Laplace equation, heat equation, Hamilton equations, Lorenz equation, gradient system, equation, geodesic, Frenet equations, linear ordinary differential equations, Riccati equation, Bessel's equation, Hermite equation, Clairaut's equation, hypergeometric equation, Bernoulli equation, Chebyshev equation, general solution of linear differential equation, second order linear differential equation with constant coefficients, linear differential equation of first order, exact differential equation, separation of variables
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This is version 27 of index of differential equations, born on 2005-05-07, modified 2008-06-02.
Object id is 7023, canonical name is IndexOfDifferentialEquations.
Accessed 6382 times total.

Classification:
AMS MSC: 34-00 (Ordinary differential equations :: General reference works )
 35-00 (Partial differential equations :: General reference works )
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