Forced linear equation and its complementary and particular solutions (Q1646): Difference between revisions

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y''+p(x)\\,y'+q(x)\\,y=g(x),\\qquad y=y_{c}+y_{p},\\qquad y_{c}''+p(x)\\,y_{c}'+q(x)\\,y_{c}=0
 
Property / LaTeX source: y''+p(x)\\,y'+q(x)\\,y=g(x),\\qquad y=y_{c}+y_{p},\\qquad y_{c}''+p(x)\\,y_{c}'+q(x)\\,y_{c}=0 / rank
Normal rank
 
Property / instance of
 
Property / instance of: mathematical expression / rank
 
Normal rank
Property / LaTeX source
 
y''+p(x)\\,y'+q(x)\\,y=g(x),\\qquad y=y_{c}+y_{p},\\qquad y_{c}''+p(x)\\,y_{c}'+q(x)\\,y_{c}=0
Property / LaTeX source: y''+p(x)\\,y'+q(x)\\,y=g(x),\\qquad y=y_{c}+y_{p},\\qquad y_{c}''+p(x)\\,y_{c}'+q(x)\\,y_{c}=0 / rank
 
Normal rank

Latest revision as of 19:39, 3 September 2026

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Forced linear equation and its complementary and particular solutions
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    y''+p(x)\\,y'+q(x)\\,y=g(x),\\qquad y=y_{c}+y_{p},\\qquad y_{c}''+p(x)\\,y_{c}'+q(x)\\,y_{c}=0
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