CVFHF3

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Find a function that is harmonic on the vertical strip from x=1 to 2 and equals 20 and 30 at x=1 and 2.

Guess \phi (x,y)=Ax+B\,

Then

\phi (1,0)=A+B=20\,

\phi (2,0)=2A+B=30\,

So A=B=10\,

\phi (x,y)=10x+10\,


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