Steady state temp. distribution

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Homework Statement


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Homework Equations


ıt is nonhomog type ,2D heat conduction problem

The Attempt at a Solution


I don't understant To parts so I couldn't attemp a solution.
 
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Shouldn't we found T(x,y)
and for upper and lower parts should I write as afuction of x To(x) and then define new temperature variable Q=T-To to eliminate nonhomog on the left side
 
What about the upper and lower boundaries?
Bc should be x=0 t=to
X=b/2 t=to
Y=0 dt/dy =0
Y=b t= to(x)