2. Solve the diffusion equation on the line (-∞ < x < ∞) and express the answer in terms of the error function: ut = kuxx, -1, x<0 u(x, 0) = 1, x>0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Solve the diffusion equation on the line (-∞ < x < ∞) and express the
answer in terms of the error function:
ut =
kuxx,
u(x, 0)
=
1.
-1, x <0
',
x>0
Transcribed Image Text:2. Solve the diffusion equation on the line (-∞ < x < ∞) and express the answer in terms of the error function: ut = kuxx, u(x, 0) = 1. -1, x <0 ', x>0
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