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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