complementary function

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|mathematics}} For a [[nonhomogeneous]] [[linear]] [[differential equation]] <math>a_n y^{(n)} + a_{n-1} y^{(n-1)} + \cdots + a_1 y' + a_0 y = g(x)</math>, the general [[solution]] of the associated [[homogenous]] linear differential equation <math>a_n y^{(n)} + a_{n-1} y^{(n-1)} + \cdots + a_1 y' + a_0 y = 0</math>. {{C|en|Functions}}

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