Remarks on second order linear differential equations (Q1551483)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Remarks on second order linear differential equations |
scientific article; zbMATH DE number 2708151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on second order linear differential equations |
scientific article; zbMATH DE number 2708151 |
Statements
Remarks on second order linear differential equations (English)
0 references
1880
0 references
Bezeichnen \(P\), \(Q\), \(R\) gegebene, \(z\) und \(u\) willkürliche Functionen von \(x\), und setzt man \[ \begin{aligned} Pz'' + Qz' + Rz = Z,\\ Pu'' + Qu' + Ru = U,\end{aligned} \qquad S = e^{\int \frac QP dx}, \] dann gilt die Identität \[ \int \frac{S(Zu - Uz)}{P} dx = S(uz' - zu'), \] aus der durch Particularisirung von \(u\) und \(v\) speciellere Formeln abgeleitet werden.
0 references
linear differential equation
0 references
second order
0 references
