Find a general formula for the temperature [tex]u(x,t)[/tex] in the form of a series with general formula for the coefficients of the series.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\alpha^2 \frac{\partial^2 u}{\partial x^2} = \frac{\partial u}{\partial t}[/tex] with [tex]0 < x < L[/tex]; [tex]t>0[/tex]

[tex]u(0,t) = 0[/tex]

[tex]\frac{\partial u}{\partial x} (L,t) = 0[/tex] with [tex]t>0[/tex]

[tex]u(x,0) = f(x)[/tex]

How can I resolve ?

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# Conduction of Heat

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