Find the solution Py = ²84, u a 81² ul₁=0 = sin ³7.x, ди du |-o = x(1 − x) (0 < x < l), u(0, t) = u(l, t) = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the solution
Fu = ²3²,
²u
81²
ult=0 = sin ³7x,
ди
du |-o = x(1-x) (0 < x < 1),
at lt=0
u(0,t) = u(l,t) = 0.
Transcribed Image Text:Find the solution Fu = ²3², ²u 81² ult=0 = sin ³7x, ди du |-o = x(1-x) (0 < x < 1), at lt=0 u(0,t) = u(l,t) = 0.
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