Question: Exercise 3-2: Solve for the equilibrium temperature distribution using the 2D Laplace equation on an L x H sized rectangular domain with the following

Exercise 3-2: Solve for the equilibrium temperature distribution using the 2D Laplace equation on an L x H sized rectangular domain with the following boundary conditions: 1. Left: u(0, y) = 0 (zero temperature) 2. Bottom: u(x, 0) = 0 (insulating) 3. Top: uy(x, H) = 0 (insulating) 4. Right: u(L, y)f (y) (prescribed temperature profile) Solve for a general boundary temperature f(y). Also solve for the particular temperature dis- tribution f(y)=sin(4y/H). COS os (4y/H) *y(2,H)=0 u(0, y) = 0 72u = 0 u(L,y) = f(y) Uy(2,0)=0

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