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математика
источник изменчивости
[ve(ə)ri'eiʃ(ə)n]
общая лексика
вариация
изменчивость
изменение
вариационный
варьирование
колебание
колебательность
магнитное склонение
неравномерность
отклонение
разновидность
ход зависимости
нефтегазовая промышленность
отклонение (от номинальной величины)
Смотрите также
существительное
общая лексика
изменение
перемена
варьирование
колебание
разновидность
вариант
отклонение
изменение, перемена
склонение магнитной стрелки
специальный термин
вариация
физика
магнитное склонение
грамматика
флексия
биология
аберрация
генетическая изменчивость
мутация
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.