Vibrating Circular Membrane
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The Bessel function of the first kind, 
, can be used to model the motion of a vibrating membrane. For example, a drum. 
is the solution of the Bessel differential equation 
that is nonsingular at the origin.
Contributed by: Sam Blake (March 2011)
Open content licensed under CC BY-NC-SA
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"Vibrating Circular Membrane"
http://demonstrations.wolfram.com/VibratingCircularMembrane/
Wolfram Demonstrations Project
Published: March 7 2011
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