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 23rd Iranian Mathematical Olympiad 2008

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Mohammad
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PostSubject: 23rd Iranian Mathematical Olympiad 2008   Tue Feb 23, 2010 4:12 pm

Find all functions f:R^+ to R^+, such that for all x,y \in R^+ we have (x+y)f(f(x)y)=x^2f(f(x)+f(y)), where R^+ denotes the set of positive real numbers. Exclamation
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