differential equation

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differential equation

n.
An equation that expresses a relationship between functions and their derivatives.

differential equation

n
(Mathematics) an equation containing differentials or derivatives of a function of one independent variable. A partial differential equation results from a function of more than one variable

differen′tial equa′tion


n.
an equation involving differentials or derivatives.
[1755–65]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.differential equation - an equation containing differentials of a function
equation - a mathematical statement that two expressions are equal
Maxwell's equations - four differential equations that summarize classical properties of electromagnetic fields
partial differential equation - a differential equation involving a functions of more than one variable
Schrodinger equation, Schrodinger wave equation - the fundamental equation of wave mechanics
wave equation - a differential equation that describes the passage of harmonic waves through a medium
References in periodicals archive ?
This textbook on ordinary differential equations (ODEs) illustrates each concept numerically by writing them down using a few lines of code of the open-source MATLAB package Chebfun.
Symmetries play an important role in different areas of research, including differential equations and general relativity [4, 6, 7, 10, 12].
The theory of nonlinear partial differential equations is one of the important research areas in different fields.
The theory of fractional calculus has been applied in widespread fields of science and engineering [1-3], and some properties of the solution were researched for fractional differential equations in [4-11].
Besides, qualitative properties of solutions of various differential equations of third order with or without delay such as stability, instability, boundedness, uniformly boundedness, oscillation, periodicity of solutions, etc.
Applied Differential Equations presents a contemporary treatment of ordinary differential equations, including their applications in engineering and the sciences.
The problems are arranged in such chapters as equations in which the variables are separable, miscellaneous first order equations, singular points, and first order partial differential equations.
In recent years, fractional differential equations have played an important role in different research areas such as mechanics, electricity, biology, economics, notably control theory, and signal and image processing [1-5].
With other words, nature unity appears in an amazing similarity of differential equations from different kinds of phenomena.
Ordinary and Partial Differential Equations provides college-level readers with a comprehensive textbook covering both ordinary differential equations and partial differential equations, offering a complete course on both under one cover which makes this a unique contribution to the field.
Rezapour: Positive solutions of a boundary value problem for nonlinear fractional differential equations, Abstr.
Aboodh transform was introduced by Khalid Aboodh to facilitate the process of solving ordinary and partial differential equations in the time domain.

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