Laplace-transformed algebraic equation for y''+y=1 (Q1651): Difference between revisions

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s^{2}Y(s)+Y(s)=\\mathcal{L}\\{1\\}=\\frac{1}{s}\\quad\\Longrightarrow\\quad (s^{2}+1)\\,Y(s)=\\frac{1}{s}
 
Property / LaTeX source: s^{2}Y(s)+Y(s)=\\mathcal{L}\\{1\\}=\\frac{1}{s}\\quad\\Longrightarrow\\quad (s^{2}+1)\\,Y(s)=\\frac{1}{s} / rank
Normal rank
 
Property / instance of
 
Property / instance of: mathematical expression / rank
 
Normal rank
Property / LaTeX source
 
s^{2}Y(s)+Y(s)=\\mathcal{L}\\{1\\}=\\frac{1}{s}\\quad\\Longrightarrow\\quad (s^{2}+1)\\,Y(s)=\\frac{1}{s}
Property / LaTeX source: s^{2}Y(s)+Y(s)=\\mathcal{L}\\{1\\}=\\frac{1}{s}\\quad\\Longrightarrow\\quad (s^{2}+1)\\,Y(s)=\\frac{1}{s} / rank
 
Normal rank

Latest revision as of 19:39, 3 September 2026

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Laplace-transformed algebraic equation for y''+y=1
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    s^{2}Y(s)+Y(s)=\\mathcal{L}\\{1\\}=\\frac{1}{s}\\quad\\Longrightarrow\\quad (s^{2}+1)\\,Y(s)=\\frac{1}{s}
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