Nicholas T.

asked • 08/18/18

Chain law with functions of several variables

A function 'f' of two variables is said to be homogeneous of degree 'n' if f(tx,ty) = t^n*f(x,y) whenever t > 0.
How can I show that such a function 'f' satisfies the equation: x*(partial derivative of f with respect to x) + y*(partial derivative of f with respect to y) = n * f.

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