complementary function

English

Pronunciation

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Noun

complementary function (plural complementary functions)

1. (mathematics) For a nonhomogeneous linear differential equation $a_n{y}^{(n)}+a_{n-1}{y}^{(n-1)}+\cdots +a_1{y}^{\prime }+a_{0}y=g(x)$, the general solution of the associated homogenous linear differential equation $a_n{y}^{(n)}+a_{n-1}{y}^{(n-1)}+\cdots +a_1{y}^{\prime }+a_{0}y=0$.

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