Interpret Prob. 17 in Sec. 18.2 as a heat problem, with boundary temperatures, say, 10°C on the upper part and 200°C on the lower.

Data from Prob. 17

Find the temperature distribution T(x, y) and the complex potential F(z) in the given thin metal plate whose faces are insulated and whose edges are kept at the indicated temperatures or are insulated as shown.

First quadrant of the z-plane with y-axis kept at 100°C, the segment 0 < x < 1 of the x-axis insulated and the x-axis for x > 1 kept at 200°C. Use Example 4.