A rectangular membrane with fixed edges oscillates according to the wave equa- tion J²u Fu 0≤x≤a, 0≤y≤b. Əyz Find the deflection of the membrane u(x, y,t) if the initial velocity is Ət² əx² and the initial deflection is + ди Ət t=0 TX 2ny a b = sin sin u(x, y,0) = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A rectangular membrane with fixed edges oscillates according to the wave equa-
tion
J²u Fu
0≤x≤a, 0≤y≤b.
Əyz
Find the deflection of the membrane u(x, y,t) if the initial velocity is
Ət² əx²
and the initial deflection is
+
ди
Ət
t=0
TX 2ny
a
b
= sin sin
u(x, y,0) = 0.
Transcribed Image Text:A rectangular membrane with fixed edges oscillates according to the wave equa- tion J²u Fu 0≤x≤a, 0≤y≤b. Əyz Find the deflection of the membrane u(x, y,t) if the initial velocity is Ət² əx² and the initial deflection is + ди Ət t=0 TX 2ny a b = sin sin u(x, y,0) = 0.
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