differential equation - ορισμός. Τι είναι το differential equation
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Τι (ποιος) είναι differential equation - ορισμός

MATHEMATICAL EQUATION INVOLVING DERIVATIVES OF AN UNKNOWN FUNCTION
Examples of differential equations; Differential equations/Examples; Differential equations of mathematical physics; Differential equations from Mathematical Physics; Differential equations from outside physics; Differental equations; Diff eq; Differential Equations; DiffyEq; Diffyeq; Separable ordinary differential equation; Exact first-order ordinary differential equation; Order (differential equation); Diff eq'n; Diffeq; Second order equation; Differential equations; Second-order differential equation; Higher order differential equation; Degree of a differential equation; Solutions of differential equations; Types of differential equations; Applications of differential equations; Differential Equation; History of differential equations; Differential equation solvers; Order of differential equation
  • 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         
¦ noun an equation involving derivatives of a function or functions.
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.
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.

Βικιπαίδεια

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.