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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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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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