Find the bounded steady temperatures T ( x , y) in the semi-intinite solid y ≥ 0 if T = 0 on the part x < − 1 ( y = 0) of the boundary, if T = 1 on the part x > 1 ( y = 0), and if the strip − 1< x <1 ( y = 0) of the boundary is insulated (Fig. 145).

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T = 0 T =1 x T = 0 T =1 x