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Solve Laplace's equation with a boundary condition?

Posted 2 months ago
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Is there a trick to make Mathematica solve with one boundary condition?

▽^2u=0

BC : u(x,0)=0, u(x,a)=0, u(0,y)=0, y(b,y)=100ºC

Show me distribution chart to assume 0< a <100cm, 0< b <100cm in steady state.

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