Mechanical Engineering > Gate 2022 Set-1 > Quants
Solution of ∇2𝑇 = 0 in a square domain (0 < 𝑥 < 1 and 0 < 𝑦 < 1) with boundary conditions:

𝑇(𝑥, 0) = 𝑥; 𝑇(0, 𝑦) = 𝑦; 𝑇(𝑥, 1) = 1 + 𝑥; 𝑇(1, 𝑦) = 1 + 𝑦

is
A
T(x, y) = x − xy+ y
B
T(x,y)=x+y
C
T(x,y)=-x+y
D
T(x,y)=x+xy+y

Correct : b

PROCESSED

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