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Homogeneous function+partial derivatives

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    A function f: R^2->R is said to be homogeneous of degree n, n E N if it satisfies the equation:
    f(tx,ty0=t^(n).f(x,y) and has continous 2nd order partial derivatives

    Q: Verify that f(x,y)=x^2.y^2+7x.y^3+5x^3.y is homogeneous and determine its degree.

    Could someone help me on how to start it off? I was thinking of taking the partial derivatives of the equation first...
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    Look at the definition of homogenous, you've been told the property you want to verify, so you just need to do it


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Updated: February 21, 2011
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