I'm trying to solve the heat conduction formula in 3 dimensions when there is constant generation from electrical resistance q'''. This creates a constant C on the right hand side that is equal to q'''/k.(adsbygoogle = window.adsbygoogle || []).push({});

T=T(x,y,z)

d^2T/dx^2 + d^2T/dy^2 + d^2T/dz^2 = C

I found a solution using separation of variables for when the right hand side equals 0, but it doesn't work with a non-zero constant on the right, because you end up with:

X'''/x + Y'''/y + Z'''/z = C/XYZ

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# D^2T/dx^2 + d^2T/dy^2 + d^2T/dz^2 = C

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