Which fucntion of u(x,y) of the Laplace equation 8²u à²μ + -=0, 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which fucntion of u(x,y) of the Laplace equation
8²u à²μ
+ -=0, 0<x<1, 0<y<1 is subject to the following initial and boundary
əx² dy²
conditions?
du
dx
du
əx
=0
= 0, 0<y<1
=0, 0<y<1
x=1
u(x,0) =0, u(x,1)=5, 0<x<1
○ u(x,y)
O u(x,y) = 5y
© u(x,y) = 5x2+52
O u(x,y) = 5x
:5(x+y)
=
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