Variation of parameters: ansatz and determining conditions (Q1647): Difference between revisions
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| Property / LaTeX source: y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x) / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x) | |||
| Property / LaTeX source: y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x) / rank | |||
Normal rank | |||
Latest revision as of 19:39, 3 September 2026
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variation of parameters: ansatz and determining conditions |
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Statements
y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x)
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