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complementary function noun

  • (mathematics) For a nonhomogeneous linear differential equation 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 a_n y^{(n)} + a_{n-1} y^{(n-1)} + \cdots + a_1 y' + a_0 y = 0.
 fonction complémentaire, solution complémentaire, solution générale de l'équation homogène correspondante
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