Homework Statement
Solve ∇2T(x, y) = 0
with boundary conditions
T(0, y) = T(L, y) = T0
T(x, L/2) = T(x, -L/2) = T0 + T1sin(πx/L)
Homework EquationsThe Attempt at a Solution
Set T(x, y) = X(x)Y(y)
Then ∇2T(x,y) = (∂2X/∂x2) Y + (∂2Y/∂y2) X = 0
Rearrange to find two separate ODEs:
d2X/dx2 =...