EXAMPLE 3.1 In a one-dimensional infinite solid, -∞

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Advance mathematics

= (u)A
vb yu 800 (v))
EXAMPLE 3.1 In a one-dimensional infinite solid, -∞<x<∞, the surface a<x<b is
initially maintained at temperature To and at zero temperature everywhere outside the surface.
Show that
yb yu nie (v)\
to a
assume that
== (18
fot
IT(X.Di<M
Tx
To
T(x, t) = erf
2
b-x-erfa-xw roda (15/6) pel non?
4at
4at
ob Fri mie(11) & + ki 200 (4)A] =(x)\
1-
where erf is an error function.
Transcribed Image Text:= (u)A vb yu 800 (v)) EXAMPLE 3.1 In a one-dimensional infinite solid, -∞<x<∞, the surface a<x<b is initially maintained at temperature To and at zero temperature everywhere outside the surface. Show that yb yu nie (v)\ to a assume that == (18 fot IT(X.Di<M Tx To T(x, t) = erf 2 b-x-erfa-xw roda (15/6) pel non? 4at 4at ob Fri mie(11) & + ki 200 (4)A] =(x)\ 1- where erf is an error function.
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