Mathematics · Partial Differential Equations
A partial differential equation &partial;2T&partial;x2 + &partial;2T&partial;y2 = 0 is defined for a two-dimensional field T(x, y) inside a planar square domain of size 2m × 2m. Three boundary edges of the square domain are maintained at a value of T = 50, whereas the fourth boundary edge is maintained at T = 100. The value of T at the center of the domain is:
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