• 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...
    4 KB (608 words) - 22:26, 19 March 2024
  • In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...
    29 KB (3,628 words) - 15:16, 20 August 2024
  • Thumbnail for Ordinary differential equation
    In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other...
    44 KB (4,890 words) - 01:31, 3 October 2024
  • differential equation Cauchy–Euler equation Riccati equation Hill differential equation Gauss–Codazzi equations Chandrasekhar's white dwarf equation Lane-Emden...
    13 KB (1,095 words) - 04:32, 24 August 2024
  • Hill equation may refer to Hill equation (biochemistry) Hill differential equation This disambiguation page lists articles associated with the title Hill...
    120 bytes (43 words) - 18:37, 28 December 2019
  • 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...
    13 KB (1,991 words) - 20:06, 7 September 2024
  • In mathematics, in the theory of ordinary differential equations in the complex plane C {\displaystyle \mathbb {C} } , the points of C {\displaystyle \mathbb...
    10 KB (1,674 words) - 15:57, 27 September 2024
  • The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian...
    8 KB (996 words) - 02:23, 20 July 2024
  • the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the elliptic partial differential equation: ∇ 2 f = − k 2...
    20 KB (2,973 words) - 10:10, 4 October 2024
  • 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...
    11 KB (2,498 words) - 01:52, 25 April 2024
  • Thumbnail for George William Hill
    theory of ordinary differential equations. The importance of his work was explicitly acknowledged by Henri Poincaré in 1905. In 1909 Hill was awarded the...
    11 KB (1,083 words) - 09:01, 13 September 2024
  • 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...
    43 KB (8,262 words) - 05:42, 27 July 2024
  • Thumbnail for Heat equation
    mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions...
    58 KB (9,839 words) - 05:59, 23 October 2024
  • solve inhomogeneous linear ordinary differential equations. For first-order inhomogeneous linear differential equations it is usually possible to find solutions...
    21 KB (3,989 words) - 04:48, 6 December 2023
  • Thumbnail for Hill equation (biochemistry)
    In biochemistry and pharmacology, the Hill equation refers to two closely related equations that reflect the binding of ligands to macromolecules, as...
    30 KB (3,330 words) - 13:07, 4 October 2024
  • partial differential equation. The method is to reduce a partial differential equation (PDE) to a family of ordinary differential equations (ODE) along...
    18 KB (2,194 words) - 03:05, 22 October 2024
  • Thumbnail for Maxwell's equations
    Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...
    75 KB (7,916 words) - 22:20, 5 October 2024
  • 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...
    34 KB (5,099 words) - 09:01, 22 October 2024
  • Thumbnail for Cauchy–Riemann equations
    Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which form a necessary...
    34 KB (4,977 words) - 19:15, 29 September 2024
  • A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when...
    31 KB (4,747 words) - 05:45, 25 October 2024
  • 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 )...
    9 KB (1,315 words) - 07:00, 23 July 2024
  • classical mechanics, the Euler–Lagrange equations are a system of second-order ordinary differential equations whose solutions are stationary points of...
    24 KB (4,840 words) - 13:41, 10 October 2024
  • Dirichlet boundary condition is imposed on an ordinary or partial differential equation, such that the values that the solution takes along the boundary...
    4 KB (435 words) - 14:50, 29 May 2024
  • The Cauchy momentum equation is a vector partial differential equation put forth by Cauchy that describes the non-relativistic momentum transport in any...
    33 KB (5,387 words) - 00:38, 20 June 2024
  • The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium...
    21 KB (3,099 words) - 23:06, 25 September 2024
  • Thumbnail for Equations of motion
    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...
    55 KB (7,509 words) - 12:23, 26 October 2024
  • Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
    5 KB (103 words) - 09:21, 8 August 2024
  • frequency domain equations are ordinary differential equations of distance. An advantage of the frequency domain approach is that differential operators in...
    33 KB (4,599 words) - 08:45, 15 August 2024
  • Thumbnail for Hypergeometric function
    ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation. For systematic...
    40 KB (7,168 words) - 13:44, 27 August 2024
  • The porous medium equation, also called the nonlinear heat equation, is a nonlinear partial differential equation taking the form: ∂ u ∂ t = Δ ( u m )...
    7 KB (920 words) - 22:56, 16 November 2023