Difference between revisions of "Template:Separation of variables in two dimensions"
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| − | We | + | We express the potential as |
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| − | \phi(x,z) = X(x)Z(z) | + | \phi(x,z) = X(x)Z(z)\, |
</math> | </math> | ||
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| − | \frac{X^{\prime\prime}}{X} = - \frac{Z{\prime\prime}}{Z} = k^2 | + | \frac{X^{\prime\prime}}{X} = - \frac{Z^{\prime\prime}}{Z} = k^2 |
</math> | </math> | ||
</center> | </center> | ||
Latest revision as of 11:09, 7 September 2008
We express the potential as
[math]\displaystyle{ \phi(x,z) = X(x)Z(z)\, }[/math]
and then Laplace's equation becomes
[math]\displaystyle{ \frac{X^{\prime\prime}}{X} = - \frac{Z^{\prime\prime}}{Z} = k^2 }[/math]
