The fundamental solution of the heat equation is given by 1 2√xt Calculate u (x, t) = exp lim t-0 (-27). 4t Su u (r-y, t) f (y) dy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The fundamental solution of the heat equation is given by
1
2√xt
Calculate
u (a, t) =
=
P(-27).
lim
t-0
exp
ou (x - y, t) f (y) dy.
Transcribed Image Text:The fundamental solution of the heat equation is given by 1 2√xt Calculate u (a, t) = = P(-27). lim t-0 exp ou (x - y, t) f (y) dy.
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