24 Show that the solution of equation satisfying the condition O T-0, as t0 (1) T-0, for x-0 and x=a for all t>0 (i) T =x, whent-0 and 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q.4 Show that the solution of equation
at
satisfying the condition
(1) T-0, as t00
(11) T-0, for x-0 and x =a for all t>0
(i) T =x, when t-0 and 0<x<a
%3D
(-1)~
sin ( x) exp [-(-)* :]
2a
is I(x,t)=-"5
(8)
%3!
a
Transcribed Image Text:Q.4 Show that the solution of equation at satisfying the condition (1) T-0, as t00 (11) T-0, for x-0 and x =a for all t>0 (i) T =x, when t-0 and 0<x<a %3D (-1)~ sin ( x) exp [-(-)* :] 2a is I(x,t)=-"5 (8) %3! a
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