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The 2-D wave equation for a membrane.

In between the 1-D wave equation for transverse waves on a string and the 3-D wave equation for longitudinal sound waves in air lies the 2-D wave equation for transverse waves on a membrane.

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Here tex2html_wrap_inline369 is the transverse displacement of the membrane as a function of coordinates x and y and time t.

Here the speed of waves on a membrane is given by

displaymath377

where here





VICTOR W SPARROW
Tue Feb 25 21:24:33 EST 1997