Heat equation solved by separation of variables (Fourier sine series) (Q1611): Difference between revisions

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u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t}
 
Property / LaTeX source: u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t} / rank
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Property / instance of
 
Property / instance of: mathematical expression / rank
 
Normal rank
Property / LaTeX source
 
u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t}
Property / LaTeX source: u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t} / rank
 
Normal rank

Latest revision as of 12:41, 3 September 2026

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Heat equation solved by separation of variables (Fourier sine series)
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    u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t}
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