Difference between revisions of "Template:Shallow depth one dimension"

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<center><math>
 
<center><math>
 
  \partial_t^2 \zeta = \partial_x \left(h(x) \partial_x \zeta \right).
 
  \partial_t^2 \zeta = \partial_x \left(h(x) \partial_x \zeta \right).
 +
</math></center>
 +
subject to the boundary conditions
 +
<center><math>
 +
\zeta_{t=0} = \zeta_0\,\,\,{\rm and}\,\,\,
 +
\partial_t\zeta_{t=0} = \partial_t\zeta_0
 
</math></center>
 
</math></center>

Revision as of 01:26, 17 December 2008

[math]\displaystyle{ \partial_t^2 \zeta = \partial_x \left(h(x) \partial_x \zeta \right). }[/math]

subject to the boundary conditions

[math]\displaystyle{ \zeta_{t=0} = \zeta_0\,\,\,{\rm and}\,\,\, \partial_t\zeta_{t=0} = \partial_t\zeta_0 }[/math]
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