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PDE, laplace, exact, should be simple...

• To: mathgroup at smc.vnet.net
• Subject: [mg110113] PDE, laplace, exact, should be simple...
• From: peter lindsay <plindsay2 at googlemail.com>
• Date: Wed, 2 Jun 2010 02:05:53 -0400 (EDT)

forgive the simplicity of this:

D[u[x, y], {x, 2}] + D[u[x, y], {y, 2}] == 0


BCs={u[0, y] == 0, u[x, 0] == 0, u[1, y] == 0, u[x, 1] ===
 Sin[=F0 x]}


DSolve etc, etc, etc...


A solution is Sin[Pi x] Sinh[Pi y]


How can I get mathematica to come up with this gem ?


thanks, and sorry again for any stupidity on my part


Peter Lindsay