This is a triangular profile for u(x,0) = f(x) and again we take du/ət(x,0) = g(x) = 0. Since du/ðt = 0 we have En = 0 and Dn are given by T/2 22 x sin nxdx + | (T – x) sin nædæ Dn

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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Example 4.2. Consider
if 0 < x < 5
2 (T – x) if 5 < x < T
2.x
(29)
This is a triangular profile for u(x,0) = f(x) and again we take
du/ət(x,0) = g(x) = 0. Since du/dt = 0 we have En = 0 and Dn
are given by
%3D
||
22
(T – x) sin nxdx
7/2
Dn
x sin nxdx +
Transcribed Image Text:Example 4.2. Consider if 0 < x < 5 2 (T – x) if 5 < x < T 2.x (29) This is a triangular profile for u(x,0) = f(x) and again we take du/ət(x,0) = g(x) = 0. Since du/dt = 0 we have En = 0 and Dn are given by %3D || 22 (T – x) sin nxdx 7/2 Dn x sin nxdx +
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