Solve the problem: Ut - 2 Uxx u (x, 0) u (0, t) = = h, = x, sint, t> 0, 0 < x < 1, 0 ≤ x ≤ 1, ur (1, t) +u (1, t) = 2, h = constant, t≥ 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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28. Solve the problem:
U t
- 2 uxx = h,
u (x, 0)
u (0, t) = sint,
= x,
t> 0, h
0< x < 1,
0 ≤ x ≤ 1,
ug(1,t)+u(1,t)= 2, t> 0.
= constant,
Transcribed Image Text:28. Solve the problem: U t - 2 uxx = h, u (x, 0) u (0, t) = sint, = x, t> 0, h 0< x < 1, 0 ≤ x ≤ 1, ug(1,t)+u(1,t)= 2, t> 0. = constant,
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