complementary function

English

Pronunciation

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Noun

complementary function (plural complementary functions)

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

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