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Which fucntion of u(x,y) of the Laplace equation following initial and boundary conditions? ди =0,0

Which fucntion of u(x,y) of the Laplace equation following initial and boundary conditions? ди =0,0

Advanced Engineering Mathematics
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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LAPLACE EQUATION ( NEED ONLY NEAT EXPLANATION HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

Which fucntion of u(x,y) of the Laplace equation following initial and boundary conditions? ди =0, 0<y<1 дх ди дх Ix=0 x=1 =0, 0<y<1 u(x,0) =0, u(x,1)=5, 0<x<1 O u(x,y) бу u(x,y) = 5x² + 5y² u(x,y) = 5x u(x,y) = 5(x+y) = 02и д2и + =0, 0<x<1, 0<y<1 is subject to the дх2 дуг
Transcribed Image Text:Which fucntion of u(x,y) of the Laplace equation following initial and boundary conditions? ди =0, 0<y<1 дх ди дх Ix=0 x=1 =0, 0<y<1 u(x,0) =0, u(x,1)=5, 0<x<1 O u(x,y) бу u(x,y) = 5x² + 5y² u(x,y) = 5x u(x,y) = 5(x+y) = 02и д2и + =0, 0<x<1, 0<y<1 is subject to the дх2 дуг
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