Integrating factor for a linear first-order equation (Q1613): Difference between revisions
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| 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),\\qquad \\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),\\qquad \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x) / rank | |||
Normal rank | |||
Revision as of 13:26, 3 September 2026
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| 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),\\qquad \\mu(x)=e^{\\int p(x)\\,dx}\\;\\Longrightarrow\\;\\frac{d}{dx}\\bigl(\\mu(x)\\,y\\bigr)=\\mu(x)\\,q(x)
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