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Omni-MATH / Find all differentiable functions f:(0,∞)→(0,∞) for which there is a positive real number a such that f' left( fracax right) = fracxf(x) for all x>0. · Discussion

Discussing Find all differentiable functions f:(0,∞)→(0,∞) for which there is a positive real number a such that f' left( frac{a}{x} right) = frac{x}{f(x)} for all x>0. · Omni-MATH

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