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So, my problem is as follows:

$$ U_{xx} +U_{yy}=0; U(x,0)=0, U_x (0,y)=0 ,U_x (L,y)=0 $$

I need to use Separation of Variables, which I did, and got:

$$ U(x,y) = (Ae^{\sqrt{\lambda}x}+Be^{-\sqrt{\lambda}x})(C\cos{\sqrt{\lambda}y}+D\sin{\sqrt{\lambda}y}) $$

for ${\lambda}>0$. My question is how to plug in the boundary conditions, and why this first solution does/doesn't satisfy the conditions.

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    You repeat $U_x(0,y)=0$ twice.2011-11-14
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    fixed, sorry...2011-11-14

1 Answers 1