Integrating factor for a linear first-order equation (Q1613): Difference between revisions
Jump to navigation
Jump to search
Add content item |
Updated the item for Integrating factor for a linear first-order equation from Special:Update |
||
| (One intermediate revision by one other user not shown) | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
| Property / LaTeX source | |||
| Property / LaTeX source: \\frac{dy}{dx}+p(x)\\,y=q(x),\\qquad \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x) / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
\\frac{dy}{dx}+p(x)\\,y=q(x),\\text{multiply both sides by } \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x) | |||
| Property / LaTeX source: \\frac{dy}{dx}+p(x)\\,y=q(x),\\text{multiply both sides by } \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x) / rank | |||
Normal rank | |||
Latest revision as of 19:22, 3 September 2026
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrating factor for a linear first-order equation |
No description defined |
Statements
\\frac{dy}{dx}+p(x)\\,y=q(x),\\text{multiply both sides by } \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x)
0 references