Solve the following boundary value problem. Ytt =25yxx 00; y(0,t) = y(6,t) = 0, y(x,0) = 0, y(x,0) = x(6-x) y(x,t) = 64 4 5x n=1 1-(-1)^ 4 n sin 5nxt 6 sin nxx 6
Solve the following boundary value problem. Ytt =25yxx 00; y(0,t) = y(6,t) = 0, y(x,0) = 0, y(x,0) = x(6-x) y(x,t) = 64 4 5x n=1 1-(-1)^ 4 n sin 5nxt 6 sin nxx 6
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:Solve the following boundary value problem.
Ytt = 25yxx 0<x<6, t>0;
y(0,t) = y(6,t) = 0, y(x,0) = 0, y(x,0) = x(6-x)
y(x,t) =
64
4
5x
n=1
1-(-1)^
4
n
sin
5nxt
6
sin
nxx
6
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