Solve the wave equation, a². u(x, t)=0 a²u Jx2 = u(0, t) = 0, u(x, t) = 0, u(x, 0) = 0.01 sin(9x), + อริน at² 0 0 (see (1) in Section 12.4) subject to the given conditions. t> 0 ди = 0, 0 < x < I at t = 0 √3 COS 2 n=1 ( +1 cos(ant)sin(x) ) x PREVIOUS ANSWERS

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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Solve the wave equation, a².
u(x, t)=0
a²u
Jx2
=
u(0, t) = 0, u(x, t) = 0,
u(x, 0) = 0.01 sin(9x),
+
อริน
at²
0<x<L, t> 0 (see (1) in Section 12.4) subject to the given conditions.
t> 0
ди
= 0, 0 < x < I
at
t = 0
√3
COS
2
n=1
(
+1 cos(ant)sin(x)
)
x
PREVIOUS ANSWERS
Transcribed Image Text:Solve the wave equation, a². u(x, t)=0 a²u Jx2 = u(0, t) = 0, u(x, t) = 0, u(x, 0) = 0.01 sin(9x), + อริน at² 0<x<L, t> 0 (see (1) in Section 12.4) subject to the given conditions. t> 0 ди = 0, 0 < x < I at t = 0 √3 COS 2 n=1 ( +1 cos(ant)sin(x) ) x PREVIOUS ANSWERS
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