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Omni-MATH / Find all functions f:(0,∞)→(0,∞) such that for any x,y∈(0,∞), xf(x²)f(f(y))+f(yf(x))=f(xy)(f(f(x²))+f(f(y²))). · Discussion

Discussing Find all functions f:(0,∞)→(0,∞) such that for any x,y∈(0,∞), xf(x²)f(f(y))+f(yf(x))=f(xy)(f(f(x²))+f(f(y²))). · Omni-MATH

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