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Math Help - Harmonic Functions

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    Harmonic Functions

    show that the function f(x,y)= (x^3)(y)-(x)(y^3) is a harmonic function.
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    Quote Originally Posted by Link88 View Post
    show that the function f(x,y)= (x^3)(y)-(x)(y^3) is a harmonic function.
    This is very easy if you use the definition of harmonic function. Just show f_xx + f_yy = 0.
    You need to compute all those partial derivatives.
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