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The World of Mathematical Equations 


Exact Solutions > Equation Index
Equation Index
Index of Named Algebraic Equations
 Algebraic equation, general form, nth degree
 binomial algebraic equation, nth degree
 biquadratic equation
 cubic equation
 generalized reciprocal equation
 linear (algebraic) equation
 modified reciprocal equation
 quadratic equation
 quartic equation, general form
 reciprocal (algebraic) equation, 4th degree
 reciprocal (algebraic) equation, nth degree
 reciprocal equation, generalized, 4th degree
 reciprocal equation, modified, 4th degree
 system of two linear (algebraic) equations
 system of n linear (algebraic) equations
Index of Named Ordinary Differential Equations
 Abel differential equation, second kind
 Abel differential equation, second kind, canonical form
 Abel differential equation, second kind, special case
 autonomous equation, firstorder
 autonomous equation, secondorder (i)
 autonomous equation, secondorder (ii)
 autonomous system of general form
 Bernoulli equation
 Bessel equation
 Bessel equation, modified
 Clairaut system
 constant coefficient linear differential equation, secondorder
 constant coefficient linear differential equation, nthorder
 damped vibrations equation
 degenerate hypergeometric equation
 EmdenFowler equation
 equation of transverse vibrations of a pointed bar
 equations of motion of a point mass in central force field
 equations of motion of a point mass in gravitational field (n = 2)
 equations of motion of a point mass in gravitational field (n = 3)
 equations of motion of a projectile
 Ermakov (Yermakov) equation
 Ermakov (Yermakov) system
 Euler equation, secondorder
 Euler equation, nthorder
 free oscillations equation
 Gaussian hypergeometric equation
 generalized Ermakov (Yermakov) system
 homogeneous equation, firstorder
 homogeneous equation, firstorder, generalized
 homogeneous equation, secondorder
 homogeneous equation, secondorder, generalized (i)
 homogeneous equation, secondorder, generalized (ii)
 hypergeometric equation
 hypergeometric equation, degenerate
 Legendre equation, special case (i)
 Legendre equation, special case (ii)
 Legendre equation
 Lienard equation
 linear differential equation, firstorder
 linear differential equations, secondorder
 linear differential equations, higherorder
 linear systems of three differential equations
 linear systems of two differential equations
 Lorenz equations
 Mathieu equation
 Mathieu equation, modified
 modified Bessel equation
 modified Mathieu equation
 nonlinear differential equations, secondorder
 nonlinear differential equations, higherorder
 nonlinear systems of three differential equations
 nonlinear systems of two differential equations
 Riccati equation, general
 Riccati equation, special
 separable equation
 systems of three linear differential equations
 systems of three nonlinear differential equations
 systems of two linear differential equations
 systems of two nonlinear differential equations
 Yermakov (Ermakov) equation
 Yermakov (Ermakov) system
Index of Named Partial Differential Equations
 anisotropic heat/diffusion equation
 biharmonic equation, homogeneous
 biharmonic equation, nonhomogeneous
 Boussinesq equation
 Burgers equation
 delay reactiondiffusion equations
 diffusion equation
 diffusion equations, linear
 equation of motion of viscous fluid
 equation of steady transonic gas flow
 equation of transverse vibration of elastic rods
 equation of vibration of a gas with central symmetry
 elliptic equations, linear
 elliptic equations, nonlinear
 firstorder partial differential equations, linear
 firstorder partial differential equations, quasilinear
 firstorder partial differential equations, nonlinear
 Fisher equation
 FitzHughNagumo equation
 heat and mass transfer equation, nonlinear, with volume reaction
 heat equation, linear homogeneous
 heat equation, linear nonhomogeneous
 heat equation, linear with axial symmetry
 heat equation, linear with central symmetry
 heat equation, nonlinear
 heat equation, nonlinear general
 heat equation, nonlinear general, with a source
 heat equation, stationary with a nonlinear source
 heat equation with a powerlaw nonlinearity
 heat equation with a exponential nonlinearity
 heat equations, linear
 heat/mass transfer equation for anisotropic media with volume reaction (i)
 heat/mass transfer equation for anisotropic media with volume reaction (ii)
 heat/mass transfer equation for anisotropic media with volume reaction (iii)
 Helmholtz equation
 hydrodynamic boundary layer equation
 hydrodynamic boundary layer equation, with pressure gradient
 hyperbolic equations, linear
 KhokhlovZabolotskaya equation
 KleinGordon equation, linear homogeneous
 KleinGordon equation, linear nonhomogeneous
 KleinGordon equation, nonlinear
 Kortewegde Vries equation
 Kortewegde Vries equation, cylindrical
 Kortewegde Vries equation, generalized
 Kortewegde Vries equation, modified
 Laplace equation
 mathematical biology systems
 MongeAmpere (MongeAmpère) equation, homogeneous
 MongeAmpere (MongeAmpère) equation, nonhomogeneous (i)
 MongeAmpere (MongeAmpère) equation, nonhomogeneous (ii)
 NavierStokes equations
 NewellWhitehead equation
 nonlinear systems of two elliptic equations
 nonlinear systems of two hyperbolic equations
 nonlinear systems of two parabolic equations
 parabolic equations, linear
 parabolic equations, nonlinear
 Poisson equation
 reactiondiffusion equations, delay
 reactiondiffusion systems, nonlinear
 Schrodinger (Schrödinger) equation, linear
 Schrodinger (Schrödinger) equation with a cubic nonlinearity
 Schrodinger (Schrödinger) equation with a powerlaw nonlinearity
 Schrodinger (Schrödinger) equation, nonlinear of a general form
 sineGordon equation
 sinhGordon equation
 stationary heat equation with a nonlinear source
 systems of general form, linear and nonlinear
 systems of reactiondiffusion equations
 telegraph equation
 Tricomi equation
 wave equation, linear homogeneous
 wave equation, linear nonhomogeneous
 wave equation, linear with axial symmetry
 wave equation, nonlinear (encountered in gas dynamics)
 wave equations, linear
 wave equations, nonlinear
Index of Named Integral Equations
 Abel integral equation
 Abel integral equation, generalized
 Abel integral equation, second kind
 Abel integral equation, second kind, generalized
 Carleman's equation
 Fredholm integral equation, first kind
 Fredholm integral equation, second kind
 generalized Abel integral equation
 generalized Abel integral equation, second kind
 LalescoPicard equation
 Volterra integral equations, second kind
 linear integral equations with constant limits of integration, first kind
 linear integral equations with constant limits of integration, second kind
 linear integral equations with variable limit of integration, first kind
 linear integral equations with variable limit of integration, second kind
 nonlinear integral equations with constant limits of integration
 nonlinear integral equations with variable limit of integration
 renewal equation
 Schlomilch (Schlömilch) equation
 Tricomi's equation
 Volterra integral equations, first kind
 Volterra integral equations, second kind
 WienerHopf equation, first kind
 WienerHopf equation, second kind
Index of Named Functional Equations
 Babbage equation (equation of involutory functions)
 basic equation of information theory
 bilinear functional equation (i)
 bilinear functional equation (ii)
 Cantor's first equation
 Cantor's second equation
 Cauchy's equation
 Cauchy's equation, exponential
 Cauchy's equation, logarithmic
 Cauchy's equation, powerlaw
 constantcoefficient linear homogeneous difference equation, firstorder
 constantcoefficient linear homogeneous difference equation, secondorder
 constantcoefficient linear homogeneous difference equation, nthorder
 constantcoefficient linear nonhomogeneous difference equation, firstorder
 constantcoefficient linear nonhomogeneous difference equation, secondorder
 constantcoefficient linear nonhomogeneous difference equation, nthorder
 D'Alembert equation
 difference equations with one independent variable
 exponential Cauchy equation
 Gauss equation
 homogeneity equation
 Jensen equation
 linear functional equations with one independent variable
 linear functional equations with several independent variables
 Lobachevsky equation
 logarithmic Cauchy equation
 nonlinear functional equations with one independent variable
 nonlinear functional equations with several independent variables
 Pexider's equation
 powerlaw Cauchy equation



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Copyright © 20042017 Andrei D. Polyanin
