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Differential equation
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==Related concepts== * A [[delay differential equation]] (DDE) is an equation for a function of a single variable, usually called '''time''', in which the derivative of the function at a certain time is given in terms of the values of the function at earlier times. * [[Integral equation]]s may be viewed as the analog to differential equations where instead of the equation involving derivatives, the equation contains [[integral]]s. * An [[integro-differential equation]] (IDE) is an equation that combines aspects of a differential equation and an integral equation. * A [[stochastic differential equation]] (SDE) is an equation in which the unknown quantity is a [[stochastic process]] and the equation involves some known stochastic processes, for example, the [[Wiener process]] in the case of diffusion equations. * A [[stochastic partial differential equation]] (SPDE) is an equation that generalizes SDEs to include space-time noise processes, with applications in [[quantum field theory]] and [[statistical mechanics]]. * An ultrametric [[pseudo-differential equation]] is an equation which contains [[p-adic numbers]] in an [[ultrametric space]]. Mathematical models that involve ultrametric pseudo-differential equations use [[pseudo-differential operators]] instead of [[differential operators]]. * A [[differential algebraic equation]] (DAE) is a differential equation comprising differential and algebraic terms, given in implicit form.
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