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- March 14th 2009, 08:33 AM #1

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## Pde

The displacement for the transverse vibrations of a beam satisfies the differential equation

utt + (b^2)uxxxx = 0

Find u(x,t) if u(0,t) = 0, u(L,t) = 0, uxx(0,t) = 0, uxx(L,t) = 0, u(x,0) = f(x), ut(x,0) = g(x)

I've never encountered a differential equation like this before. How do you solve it?

- March 14th 2009, 11:32 AM #2

- March 15th 2009, 05:43 AM #3

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- Sep 2006
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- March 15th 2009, 06:16 AM #4