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- Feb 4th 2009, 03:56 PM #1

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## PDE

I'm in an elementary PDE's class and I'm trying to do problems in my textbook. I'm having trouble starting. I was wondering if someone could show me how to do this example, so I can model similar solutions after it.

Find the solution and give a physical interpretation of the problem uxx = 4ut (i.e. second partial derivative of u with respect to x = 4 times the first partial derivative of u with respect to t)

for 0 < x < 2, t > 0,

with the conditions

u(0,t) = 0

u(2,t) = 0

u(x,0) = 2sin(pi*x/2) - sin(pi*x) + 4sin(2pi*x)

Thanks.

- Feb 4th 2009, 04:02 PM #2

- Feb 4th 2009, 04:54 PM #3

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- Feb 4th 2009, 06:00 PM #4

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- Feb 4th 2009, 08:09 PM #5