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non-homogeneous differential equation

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  • Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …   Wikipedia

  • Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

  • Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Differential of a function — For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… …   Wikipedia

  • Non-topological soliton — In quantum field theory, a non topological soliton (NTS) is a field configuration possessing, contrary to a topological one, a conserved Noether charge and stable against transformation into usual particles of this field for the following reason …   Wikipedia

  • Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …   Wikipedia

  • Wave equation — Not to be confused with Wave function. The wave equation is an important second order linear partial differential equation for the description of waves – as they occur in physics – such as sound waves, light waves and water waves. It arises in… …   Wikipedia

  • Electromagnetic wave equation — The electromagnetic wave equation is a second order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. The homogeneous form of the equation, written in terms of either the… …   Wikipedia

  • Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally …   Wikipedia

  • Radiative transfer equation and diffusion theory for photon transport in biological tissue — Photon transport in biological tissue can be equivalently modeled numerically with Monte Carlo simulations or analytically by the radiative transfer equation (RTE). However, the RTE is difficult to solve without introducing approximations. A… …   Wikipedia

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