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December 9th, 2009, 06:53 AM   #1
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Inhomogeneous term in PDE

Hi all, there is this following PDE that I ignore how to get rid of the inhomogenous term.

d/dt [Y(x,t)] - d^2/dx^2 [Y(x,t)] = h(x,t)
0<x< Infinity , t>0

with boundary conditions
i) Y(x,0) = f(x)
ii) Y(0,t) = q(t)
iii) lim Y(x,t) = lim d/dx[Y(x,t)] = 0 as x --> infinity


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