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Encyclopedia > Differential equations

In mathematics, a differential equation is an equation in which the derivatives of a function appear as variables. Differential equations form the basic language of physics.


Differential equations are divided into two types:


  Results from FactBites:
 
partial differential equation - definition of partial differential equation in Encyclopedia (800 words)
Where ordinary differential equations have solutions that are families with each solution characterized by the values of some parameters, for a PDE it is more helpful to think that the parameters are function data (informally put, this means that the set of solutions is much larger).
Partial differential equations are ubiquitous in science, as they describe phenomena such as fluid flow, gravitational fields, and electromagnetic fields.
In the WKB approximation it is the Hamilton-Jacobi equation.
Differential equation - Wikipedia, the free encyclopedia (571 words)
In mathematics, a differential equation is an equation in which the derivatives of a function appear as variables.
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, thus resulting in a solution which is itself a stochastic process.
The theory of differential equations is closely related to the theory of difference equations, in which the coordinates assume only discrete values, and the relationship involves values of the unknown function or functions and values at nearby coordinates.
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