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Initial Conditions

Why do we impose the condition:

ut(x,0) = 0 ?

This means that the time derivative of the displacement function is initially zero, which is to say: the membrane is initially at rest.

It is possible to use other initial conditions, but that would only complicate our discussion of wallpaper.

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Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 12 Aug 1998 --- Last modified: 18 Aug 1998 23:59:59
Comments to: CVM@maa.org