Obtain the solution of each of the following in ems: a) Ut 4 uxr) 0 < x < 1, u (x, 0) = x² (1 - x), 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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15. Obtain the solution of each of the following initial boundary-value prob-
lems:
(a)
Ut = 4 Uxx)
0 < x < 1,
t > 0,
u (x, 0) = x² (1 – x),
0 < x < 1,
u (0, t) = 0,
u (1, t) = 0,
t > 0.
Transcribed Image Text:15. Obtain the solution of each of the following initial boundary-value prob- lems: (a) Ut = 4 Uxx) 0 < x < 1, t > 0, u (x, 0) = x² (1 – x), 0 < x < 1, u (0, t) = 0, u (1, t) = 0, t > 0.
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