       Laplace's Equation

• To: mathgroup at smc.vnet.net
• Subject: [mg15095] Laplace's Equation
• From: Lawrence Walker <lwalker701 at earthlink.net>
• Date: Sat, 12 Dec 1998 03:58:59 -0500
• Organization: Morgan State University: COMSARE
• Sender: owner-wri-mathgroup at wolfram.com

```Group:

I can solve the following problem by hand using separation of variables:

Given Laplace's equation Uxx+Uyy=0 or D[U,{x,2}]+D[U,{y,2}]==0 in the
column 0<x<L1 and 0<y<L2 satisfying the boundary conditions U(0,y)=0
and U(L1,y)=0. Find U(x,y).

How do I setup and solve this problem automatically using Mathematica?
DSolve?

Thanks,
Lawrence

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Lawrence A. Walker Jr., M.Eng./Ph.D. Candidate
Morgan State University
Clarence M. Mitchell School of Engineering
COMSARE (Center Of Microwave/Satellite And RF Engineering)
Rm: 306-Schafer     Phone: (443)885-1453
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```

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