If u(x, t) is a solution of u, = uxx * u(x, 0) = 1 + x+ sin (ax) cos (Tx) u(0, t) = 1, u(1, t) = 2. Then 0 0 (a) u 2 4 3 3 (b) и 4 4 1 -37? +-e 4 2 1 -472 (c) u (e) (d) и 4 +-e 4
If u(x, t) is a solution of u, = uxx * u(x, 0) = 1 + x+ sin (ax) cos (Tx) u(0, t) = 1, u(1, t) = 2. Then 0 0 (a) u 2 4 3 3 (b) и 4 4 1 -37? +-e 4 2 1 -472 (c) u (e) (d) и 4 +-e 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:If u(x, t) is a solution of u, = uxx
* u(x, 0) = 1+ x+ sin (ax) cos (Tx)
u(0, t) = 1, u(1, t) = 2. Then
0 <x<1
t>0
(a) u
2 4
3
3
(b) u
4 4
1
-37?
+-e
4 2
1
--472
(c) u
(e)
(d) и
4
+-e
4
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