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Math Help - ln Harmonic function

  1. #1
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    ln Harmonic function

    f(x,y)=ln(4x^2+4y^2) show that the function is a harmonic series.
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    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Link88 View Post
    f(x,y)=ln(4x^2+4y^2) show that the function is a harmonic series.
    Do you mean to show that the function is harmonic?

    To do so, show that f\!\left(x,y\right) satisfies Laplace's Equation \frac{\partial^2 f}{\partial x^2}+\frac{\partial^2 f}{\partial y^2}=0

    Can you take it from here?
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  3. #3
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    Well I took the derivatives of both fx and fy but got 2y + 2x = 0 which can't be it : /
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