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Heat equation with peculiar boundary conditions

  1. Mar 10, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the solution to the heat equation for the following conditions:

    2. Relevant equations

    6yla84.png

    3. The attempt at a solution

    Not sure. I've only encountered the following scenarios:

    temperatures of both ends are arbitrary values
    both ends are insulated (so the first partials with respect to x are both zero)
    the rod is a circle so the temperatures of both ends and their rate of change are equal.

    I tried using separation of variables but wasn't sure how to proceed after solving the equation for x.
     
  2. jcsd
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