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GATE ME 2022 Set 1 — Question 12

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MCQ+1 / -0.33EasyHeat, Wave & Laplace EquationsDifferential EquationsEngineering Mathematics

Engineering Mathematics → Differential Equations → Heat, Wave & Laplace Equations

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Question

Solution of ∇2T=0\nabla^2 T = 0 in a square domain (0<x<10 < x < 1 and 0<y<10 < y < 1) with boundary conditions:
T(x,0)=xT(x, 0) = x; T(0,y)=yT(0, y) = y; T(x,1)=1+xT(x, 1) = 1 + x; T(1,y)=1+yT(1, y) = 1 + y
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