In mathematics, the Hill equation or Hill differential equation is the second-order linear ordinary differential equation d 2 y d t 2 + f ( t ) y = 0...
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In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...
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In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other...
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differential equation Cauchy–Euler equation Riccati equation Hill differential equation Gauss–Codazzi equations Chandrasekhar's white dwarf equation Lane-Emden...
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Hill equation may refer to Hill equation (biochemistry) Hill differential equation This disambiguation page lists articles associated with the title Hill...
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characteristic equation (or auxiliary equation) is an algebraic equation of degree n upon which depends the solution of a given nth-order differential equation or...
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In mathematics, in the theory of ordinary differential equations in the complex plane C {\displaystyle \mathbb {C} } , the points of C {\displaystyle \mathbb...
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The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian...
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the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the elliptic partial differential equation: ∇ 2 f = − k 2...
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series method is used to seek a power series solution to certain differential equations. In general, such a solution assumes a power series with unknown...
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theory of ordinary differential equations. The importance of his work was explicitly acknowledged by Henri Poincaré in 1905. In 1909 Hill was awarded the...
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Mathieu function (redirect from Mathieu differential equation)
sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation d 2 y d x 2 + ( a − 2 q cos ( 2 x ) ) y = 0 , {\displaystyle {\frac...
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mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions...
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solve inhomogeneous linear ordinary differential equations. For first-order inhomogeneous linear differential equations it is usually possible to find solutions...
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In biochemistry and pharmacology, the Hill equation refers to two closely related equations that reflect the binding of ligands to macromolecules, as...
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Method of characteristics (redirect from Charpit-Lagrange equations)
partial differential equation. The method is to reduce a partial differential equation (PDE) to a family of ordinary differential equations (ODE) along...
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Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...
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tensor allows the EFE to be written as a set of nonlinear partial differential equations when used in this way. The solutions of the EFE are the components...
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Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which form a necessary...
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A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when...
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Floquet theory (category Differential equations)
of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the form x ˙ = A ( t )...
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classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose solutions are stationary points of...
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Dirichlet boundary condition is imposed on an ordinary or partial differential equation, such that the values that the solution takes along the boundary...
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The Cauchy momentum equation is a vector partial differential equation put forth by Cauchy that describes the non-relativistic momentum transport in any...
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The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium...
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relativity. If the dynamics of a system is known, the equations are the solutions for the differential equations describing the motion of the dynamics. There are...
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Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
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frequency domain equations are ordinary differential equations of distance. An advantage of the frequency domain approach is that differential operators in...
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Hypergeometric function (redirect from Hypergeometric differential equation)
ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation. For systematic...
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The porous medium equation, also called the nonlinear heat equation, is a nonlinear partial differential equation taking the form: ∂ u ∂ t = Δ ( u m )...
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