Using the method of separation of variables, find the solution of the following equation Pu, Pu = 0 for 0 < r < 3 and 0 < y < 3, which satisfies the following conditions: a) u(0, y) = 0 for 0

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Using the method of separation of variables, find the solution of the following
equation
Pu Pu
= 0
dy?
for 0 < r < 3 and 0 < y < 3, which satisfies the following conditions:
a) u(0, y) = 0 for 0<y < 3
b) u(x, 0) = 0 for 0 <x < 3
u(x, 3) = 0 for 0<x < 3
c)
d) u(3, y) = 4 sin ry for 0<y < 3
%3|
Transcribed Image Text:Using the method of separation of variables, find the solution of the following equation Pu Pu = 0 dy? for 0 < r < 3 and 0 < y < 3, which satisfies the following conditions: a) u(0, y) = 0 for 0<y < 3 b) u(x, 0) = 0 for 0 <x < 3 u(x, 3) = 0 for 0<x < 3 c) d) u(3, y) = 4 sin ry for 0<y < 3 %3|
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