Chapter 11. The temperature in the first quadrant where
T(0,y) = -50 for 1 < y,
T(x,0) = 50 for 0 < x.

Solution. Use the mapping .

The temperature function is:

A graph for the solution is:

Temperature in the first quadrant, insulated along the segment x=0, 0<y<1.

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(c) John Mathews, 1998, 2006