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October 24th, 2007, 04:07 PM   #1
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Separation of Variables

My problem is using separation of variables for what is equivalent to a PDE. The problem is of the form

dT [color=white]```[/color] d^2T
--- = A ------- +B
dt [color=white]```[/color] dy^2

The examples I've found all are only of first order, and don't have a constant added on. Using the assumption of T(t,y)=X(t)+Y(y) seems to be about what I need, but then I'm not sure what to do about B.

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October 25th, 2007, 01:11 PM   #2
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Start with T=S+Bt. The equation in S will not have B in it.
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