complementary function

noun

For a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0.

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Meanings

nouncomplementary function (plural complementary functions)

plural complementary functions

  1. mathematicsFor a nonhomogeneous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=g(x), the general solution of the associated homogenous linear differential equation a_ny⁽ⁿ⁾+a_n-1y⁽ⁿ⁻¹⁾+⋯+a_1y'+a_0y=0.

Translations

Catalan funció complementària
  • funció complementàriacomplementary function
French fonction complémentaire, solution complémentaire
  • fonction complémentairecomplementary function
  • solution complémentairecomplementary function
  • solution générale de l'équation homogène correspondantecomplementary function
Italian funzione complementare
  • funzione complementarecomplementary function
Portuguese função complementar
  • função complementarcomplementary function
Spanish función complementaria
  • función complementariacomplementary function
Cite this entry
APA

complementary function. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/complementary%20function

MLA

“complementary function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/complementary%20function. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “complementary function,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/complementary%20function.

Source: complementary function on Wiktionary, CC BY-SA 4.0.