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

1. ## 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!

2. 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.