GeezerVison — complementary function - Wiktionary, the free dictionary

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English

Pronunciation

Audio (Southern England): (file)

Noun

complementary function (plural complementary functions)

(mathematics) For a nonhomogeneous linear differential equation $a_{n} y^{(n)} + a_{n - 1} y^{(n - 1)} + \dots + a_{1} y^{'} + a_{0} y = g (x)$ , the general solution of the associated homogenous linear differential equation $a_{n} y^{(n)} + a_{n - 1} y^{(n - 1)} + \dots + a_{1} y^{'} + a_{0} y = 0$ .

Translations

complementary function

Catalan: funció complementària f
French: fonction complémentaire f, solution complémentaire f, solution générale de l'équation homogène correspondante f
Italian: funzione complementare f
Portuguese: função complementar f
Spanish: función complementaria f

See also

particular integral

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