Template:Separation of variables in two dimensions - Revision history

Meylan at 11:09, 7 September 2008

2008-09-07T11:09:45Z

← Older revision		Revision as of 11:09, 7 September 2008
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	We ~~solve~~ express the potential as		We express the potential as
	<center>		<center>
	<math>		<math>

Meylan at 04:21, 26 August 2008

2008-08-26T04:21:35Z

← Older revision		Revision as of 04:21, 26 August 2008
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	<center>		<center>
	<math>		<math>
	\phi(x,z) = X(x)Z(z)		\phi(x,z) = X(x)Z(z)\,
	</math>		</math>
	</center>		</center>
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	<center>		<center>
	<math>		<math>
	\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>

Meylan at 04:21, 26 August 2008

2008-08-26T04:21:18Z

New page

We solve express the potential as
<center>
<math>
\phi(x,z) = X(x)Z(z)
</math>
</center>
and then Laplace's equation becomes
<center>
<math>
\frac{X^{\prime\prime}}{X} = - \frac{Z{\prime\prime}}{Z} = k^2
</math>
</center>