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CAPS 1999 Problem 5

    Find all functions f:(1,∞)to Rf: (1,\infty)\text{to R} satisfying f(x)−f(y)=(y−x)f(xy)f(x)-f(y)=(y-x)f(xy) for all x,y>1x,y>1 .

    Dataset text AI-MO AoPS. Quoted with source.

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