- #1
nigels
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I've been getting pretty rusty in terms of derivation in recent years. Encountered this problem which I can't derive the steps despite knowing the solution.
[itex] \frac{\partial^2 u}{\partial r^2} + \frac{\partial u}{\partial r}\left(\beta + \frac{1}{r}\right)+\frac{\beta}{r}u=0[/itex]
Known solution:
[itex]u(r) = \beta \cdot \exp(-\beta r)[/itex]
Thank you very much for your help!
[itex] \frac{\partial^2 u}{\partial r^2} + \frac{\partial u}{\partial r}\left(\beta + \frac{1}{r}\right)+\frac{\beta}{r}u=0[/itex]
Known solution:
[itex]u(r) = \beta \cdot \exp(-\beta r)[/itex]
Thank you very much for your help!