Problem: Solve the following wave equation: J²u J²u = Ət² მე2 u(0,t) = u(T,t)=0 u(x, 0) = sin(4x) + 7 sin(5x) ди (x, 0) = 2sin(2x) + sin(3x) Ət 0 < x <π, t > 0 t> 0 0 < x

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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Problem: Solve the following wave equation:
J²u
J²u
=
Ət²
მე2
u(0,t) = u(T,t)=0
u(x, 0) = sin(4x) + 7 sin(5x)
ди
(x, 0) = 2sin(2x) + sin(3x)
Ət
0 < x <π,
t > 0
t> 0
0 < x <T
0 < x <π
Transcribed Image Text:Problem: Solve the following wave equation: J²u J²u = Ət² მე2 u(0,t) = u(T,t)=0 u(x, 0) = sin(4x) + 7 sin(5x) ди (x, 0) = 2sin(2x) + sin(3x) Ət 0 < x <π, t > 0 t> 0 0 < x <T 0 < x <π
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