Show that the function fx y lnx2 y2 is harmonictechnical
We say a function f(x,y) is harmonic if fxx(x,y)+fyy(x,y) = 0 for all x and y. Show that the function f(x, y) = ln(x2 + y2) is harmonic.(technical note: f is undefined at (0, 0), but we still call f harmonic anyway)
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