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Differential equations play a prominent role in many scientific areas: mathematics, physics, engineering, chemistry, biology, medicine, economics, etc. This list presents differential equations that have received specific names, area by area.
An example of a nonlinear delay differential equation; applications in number theory, distribution of primes, and control theory [ 5 ] [ 6 ] [ 7 ] Chrystal's equation
The order of the differential equation is the highest order of derivative of the unknown function that appears in the differential equation. For example, an equation containing only first-order derivatives is a first-order differential equation, an equation containing the second-order derivative is a second-order differential equation, and so on.
Name Dim Equation Applications Landau–Lifshitz model: 1+n = + Magnetic field in solids Lin–Tsien equation: 1+2 + = Liouville equation: any + = Liouville–Bratu–Gelfand equation
3 Dynamical systems, examples. 4 Complex dynamics. 5 Difference equations. ... This is a list of dynamical system and differential equation topics, by Wikipedia page.
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable.As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. [1]
List of nonlinear partial differential equations; List of named differential equations; References This page was last edited on ...
Differential equations arise naturally in the physical sciences, in mathematical modelling, and within mathematics itself. For example, Newton's second law, which describes the relationship between acceleration and force, can be stated as the ordinary differential equation =.
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