Substituting yp into the forced equation: the homogeneous brackets vanish (Q1665): Difference between revisions
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| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
| Property / LaTeX source | |||
| Property / LaTeX source: y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}' / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}' | |||
| Property / LaTeX source: y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}' / rank | |||
Normal rank | |||
Latest revision as of 07:28, 4 September 2026
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Substituting yp into the forced equation: the homogeneous brackets vanish |
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Statements
y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}'
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