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Qué (quién) es variation method - definición

PROCEDURE FOR SOLVING DIFFERENTIAL EQUATIONS

Method of variation of the parameter; Variational methods (physics); Variation of parameter; Variation of constants; Variation of Parameters; Method of variation of parameters (differential equation); Method of variation of parameters; Variation of parameters (differential equations)

variation

WIKIMEDIA DISAMBIGUATION PAGE

Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)

¦ noun

1. a change or slight difference in condition, amount, or level.

(also magnetic variation) the angular difference between true north and magnetic north at a particular place.

2. a different or distinct form or version.

Music a new but still recognizable version of a theme.

Ballet a solo dance as part of a performance.

Derivatives

variational adjective

varied

WIKIMEDIA DISAMBIGUATION PAGE

Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)

¦ adjective incorporating a number of different types or elements; showing variation or variety.

Derivatives

variedly adverb

variation

WIKIMEDIA DISAMBIGUATION PAGE

Variations; Varied; Varying; Variation (disambiguation); Viccitude; Variations (album); Variation (combinatorics); Variations (Combinatorics); Variation (Combinatorics)

(variations)

1.

A variation on something is the same thing presented in a slightly different form.

This delicious variation on an omelette is quick and easy to prepare...

N-COUNT: usu N on n

2.

A variation is a change or slight difference in a level, amount, or quantity.

The survey found a wide variation in the prices charged for canteen food...

Every day without variation my grandfather ate a plate of cold ham.

N-VAR

Wikipedia

Variation of parameters

In mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations.

For first-order inhomogeneous linear differential equations it is usually possible to find solutions via integrating factors or undetermined coefficients with considerably less effort, although those methods leverage heuristics that involve guessing and do not work for all inhomogeneous linear differential equations.

Variation of parameters extends to linear partial differential equations as well, specifically to inhomogeneous problems for linear evolution equations like the heat equation, wave equation, and vibrating plate equation. In this setting, the method is more often known as Duhamel's principle, named after Jean-Marie Duhamel (1797–1872) who first applied the method to solve the inhomogeneous heat equation. Sometimes variation of parameters itself is called Duhamel's principle and vice versa.

https://en.wikipedia.org/wiki/Variation of parameters