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The following equation:

[tex]\frac{\partial^2 u}{\partial r^2}+\frac{1}{r} \cdot \frac{\partial u}{\partial r}+ \frac{\partial^2 u}{\partial z^2} = 0[/tex]

is solved by separation of variables assuming a solution of the form:

[tex]u=R(r)Z(z)[/tex]

In other cases the assumed solution is of the form:

[tex]u=\psi_{0}+\psi_{1}z+R(r)Z(z)[/tex]

Could anyone tell me or give me a hint where do the [tex]\psi[/tex]s come from?

Best Regards

Phioder

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# Laplace Cylindrical Coordinates (Separation of variables)

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