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Math Help - Laplaces Equation, a question involving showing the value at the centre of a square

  1. #1
    LHS
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    Exclamation Laplaces Equation, a question involving showing the value at the centre of a square

    Can anyone help me think of the three similar cases I need to examine, I was thinking 0<x<pi/2 0<y<pi/2, 0<x<pi 0<y<pi/2, 0<x<pi/2 0<y<pi, with the same boundaries as those parts of the original square, but it doesn't really work for me, any help would be greatly appreciated!

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    I think the idea is to have T = 1 on one side and T = 0 on the remaining three sides. The problem you state gives T = 1 on the top boundary. The remaining cases would be to have T = 1 on the botton, right and left boundaries, respectively.
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