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Math Help - temperature problem

  1. #1
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    temperature problem

    slab of material -1 \leq x \leq 1 is initally at a temperature given by
    T = T_{0}(1 + x) \ for \ -1 \leq x \leq 0
    = T_{0}(1 - x) \ for \ 0 < x \leq 1,
    and the surfaces x = \pm 1 are maintained at zero temperature.
    Show that the temperature is
    T=\frac{8T_{0}}{\pi^{2}} \sum^{\infty}_{n=0} \frac{1}{(2n+1)^2} cos \frac{(2n+1) \pi x}{2} exp[-k(n+ \frac{1}{2})^2 \pi^2 t]
    Last edited by Jester; August 25th 2011 at 05:26 AM.
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  2. #2
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    Re: temperature problem

    Have you tried separation of variables?

    Note: For those that are reading this post, I'm sure the OP meant to include the governing PDE

     T_t = kT_{xx}
    Last edited by Jester; August 25th 2011 at 07:36 PM.
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  3. #3
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    Re: temperature problem

    how would i do that?
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