Find the transverse displacement u(x, y, t) of a thin square mem- brane of sides a = b = π units with v = 1 if the membrane is initially at rest and its initial deflection is given by: (a) f(x,y) = k sin(2x) sin(5y), k> 0, and

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3. Find the transverse displacement u(x, y, t) of a thin square mem-
brane of sides a = b = π units with v = 1 if the membrane is
initially at rest and its initial deflection is given by:
(a) f(x,y) = k sin(2x) sin (5y), k> 0, and
Transcribed Image Text:3. Find the transverse displacement u(x, y, t) of a thin square mem- brane of sides a = b = π units with v = 1 if the membrane is initially at rest and its initial deflection is given by: (a) f(x,y) = k sin(2x) sin (5y), k> 0, and
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