Find constants C, such that u(x,y) = 2 C, sinh nx sinny is the solution of the problem: %3D ou du = 0, x,y € (0,), u(0, y) = 0, u(7, y) = 1, y e (0, 7m, u(x, 0) = 0, u(x, 1) = 0, xE (0, 7). Oa. 2 (-1)" nn sinhn Ob. T sinh(2n 7) Oc (1)"+1) 2 sinhn Od. (1--1)") 2 sinhn Oe. 1 1 nn sinh(2n7)

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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Find constants C such that u(x,y) = 2 C, sinh nx sinny is the solution of the problem:
n-1
= 0, x,y e (0, 7),
u(0, y) = 0,
u(7, y) = 1,
у (0, т),
u(x,0) = 0,
u(x, 7) = 0,
хе (0, т).
Oa.
2 (-1)"
nn sinhn7
Ob.
T sinh(2n 7)
Oc.
(-1)" +1)
2
sinh n
Od.
(1-(-1)")
2
sinh nn
Oe. 1
1
nn sinh(2n 7)
Transcribed Image Text:00 Find constants C such that u(x,y) = 2 C, sinh nx sinny is the solution of the problem: n-1 = 0, x,y e (0, 7), u(0, y) = 0, u(7, y) = 1, у (0, т), u(x,0) = 0, u(x, 7) = 0, хе (0, т). Oa. 2 (-1)" nn sinhn7 Ob. T sinh(2n 7) Oc. (-1)" +1) 2 sinh n Od. (1-(-1)") 2 sinh nn Oe. 1 1 nn sinh(2n 7)
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