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In trying to solve a thermal stress problem, I have encountered an inhomogeneous differential equation of the following general form:

[tex] \nabla^2 \Phi(r,z) = F_r(r)F_z(z)[/tex]

Solving the homogeneous case is no problem, as it is kind of a classic. Is there a route to finding a particular solution for the inhomogeneous case? Since my "charge density" (it's really temperature) is separable, I expected this to be straightforward.

It may, in fact, be straightforward, but it is still beyond my ken.

Thanks,

-BK

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# Poisson's Eq. with separable variables?

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