differential equations - определение. Что такое differential equations
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Что (кто) такое differential equations - определение

MATHEMATICAL EQUATION INVOLVING DERIVATIVES OF AN UNKNOWN FUNCTION
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  • Visualization of heat transfer in a pump casing, created by solving the [[heat equation]]. [[Heat]] is being generated internally in the casing and being cooled at the boundary, providing a [[steady state]] temperature distribution.

Differential equation         
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.
differential equation         
¦ noun an equation involving derivatives of a function or functions.
Examples of differential equations         
Differential equations arise in many problems in physics, engineering, and other sciences. The following examples show how to solve differential equations in a few simple cases when an exact solution exists.

Википедия

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly.

Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine solutions with a given degree of accuracy.

Примеры употребления для differential equations
1. "There‘s no matrix algebra, there‘s no differential equations." That does not make us feel better.