Homogeneous function+partial derivatives
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...
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...
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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