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solution of PDE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40710] solution of PDE
  • From: C B <cbhat at herald.cc.purdue.edu>
  • Date: Mon, 14 Apr 2003 04:06:30 -0400 (EDT)
  • Organization: Purdue University
  • Sender: owner-wri-mathgroup at wolfram.com

I am trying to solve the following PDE



PDE : (1-M^2)D[phi[x,y],x,x]+ D[phi[x,y],y,y]  = 0

BC1: Derivative[0,1][phi][x,(d/2)] = U k A Cos(kx)
BC2: Derivative[0,1][phi][x,(-d/2)] = U k A Cos(kx)

But I Am not being able to get mathematica to do it.

I know that the analyitcal solution exists and can be found out by 
seperation of variables. How do I get that solution using mathematica?






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