Question: f(x,y)is aharmonic functionif it is a Laplace equation why is the g(x,y) =xfx(x,y)+yfy(x,y) a harmonic function. and why is it(f2)and(ef)are nonnegative functions. whenf(x, y) =A+Bln,

f(x,y)is aharmonic functionif it is a Laplace equation

why is the g(x,y) =xfx(x,y)+yfy(x,y) a harmonic function. and why is it(f2)and(ef)are nonnegative functions.

whenf(x, y) =A+Bln, is it a harmonic function? a Laplace? or nonnegative?

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