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I have a problem seeing how a solution is reached??

The expression is poisson's equation for a positive charge which is debye shielded.

[tex]\nabla . \psi = (2 / \lambda^2) \psi [/tex]

The solution of which is..

[tex]

\psi = (Q / 4\pi\epsilon r )* exp(-2 \sqrt{r}/\lambda)

[/tex]

I was hoping I could express this as a Legendre polynomial but alas, this is only for Laplace's equation it seems.

How can I arrive at this solution?

Thanks,

Harry

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# Solving Poisson's equation

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