Find the solution to the initial-boundary value problem: 0 < x < 1, t> 0, t > 0, du - 3 Əx² , u(0, t) = u(1, t) = 0, u(x,0) = x, 0 < x < 1.

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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Find the solution to the initial-boundary value problem:
du
Əx²
u(0, t) = u(1, t) = 0,
u(x,0) = x,
0 < x < 1, t > 0,
t > 0,
0 < x < 1.
Transcribed Image Text:Find the solution to the initial-boundary value problem: du Əx² u(0, t) = u(1, t) = 0, u(x,0) = x, 0 < x < 1, t > 0, t > 0, 0 < x < 1.
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