Difference between revisions of "2001 IMO Shortlist Problems/A4"
m (New page: == Problem == Find all functions <math>f: \mathbb{R} \rightarrow \mathbb{R}</math>, satisfying <center><math>f(xy)(f(x) - f(y)) = (x - y)f(x)f(y)</math></center> for all <math>x,y</math>. ...) |
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Revision as of 18:14, 20 August 2008
Problem
Find all functions , satisfying
for all .
Solution
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