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Inhomogene lineare Differentialgleichung — Wikipedia (de)

Source: Wikipedia (de)
Original: https://de.wikipedia.org/wiki/Inhomogene_lineare_Differentialgleichung
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-09T02:15:03.439Z
SHA-256 of the archived text: 499d0525097f6d9f84c51b5b390cb065044b936336ee1576d0fb135b24b915cc
Stable URL of this page: https://metraipolis.com/documento/dc_a32f16eb72cd

How to cite

Inhomogene lineare Differentialgleichung — Wikipedia (de) — Wikipedia (de), https://de.wikipedia.org/wiki/Inhomogene_lineare_Differentialgleichung (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_a32f16eb72cd (Metraipolis archive dc_a32f16eb72cd, sha256 499d0525097f6d9f84c51b5b390cb065044b936336ee1576d0fb135b24b915cc)

BibTeX

@misc{dca32f16eb72cd,
  title = {Inhomogene lineare Differentialgleichung — Wikipedia (de)},
  howpublished = {Wikipedia (de)},
  url = {https://de.wikipedia.org/wiki/Inhomogene_lineare_Differentialgleichung},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_a32f16eb72cd; sha256 499d0525097f6d9f84c51b5b390cb065044b936336ee1576d0fb135b24b915cc},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (de), https://de.wikipedia.org/wiki/Inhomogene_lineare_Differentialgleichung. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Eine inhomogene lineare Differentialgleichung ist eine Differentialgleichung 1. Ordnung der Form y ′ ( x ) = a ( x ) y ( x ) + b ( x ) {\displaystyle y^{\prime }(x)=a(x)y(x)+b(x)} mit stetigen Funktionen a ( x ) , b ( x ) {\displaystyle a(x),b(x)} , oder allgemeiner eine Differentialgleichung n. Ordnung der Form y ( n ) ( x ) = ∑ k = 0 n − 1 a k ( x ) y ( k ) ( x ) + b ( x ) {\displaystyle \textstyle y^{(n)}(x)=\sum _{k=0}^{n-1}a_{k}(x)y^{(k)}(x)+b(x)} mit stetigen Funktionen a 0 ( x ) , … , a n − 1 ( x ) , b ( x ) {\displaystyle a_{0}(x),\ldots ,a_{n-1}(x),b(x)} . Die Funktion b ( x ) {\displaystyle b(x)} wird als Inhomogenität der Differentialgleichung bezeichnet.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in tedesco, in ordine alfabetico).
Fonte: Wikipedia in tedesco, voce «Inhomogene lineare Differentialgleichung» — https://de.wikipedia.org/wiki/Inhomogene_lineare_Differentialgleichung
Wikidata Q106642756 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q106642756
Autori: i contributori di Wikipedia (cronologia: https://de.wikipedia.org/wiki/Inhomogene_lineare_Differentialgleichung?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 236966784, consultata il 2026-11-09T02:11:47.947Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 41dd15c22e7c6661d57e1d85890dd63ccdf9202db1a54c28817b5d6e306cea25