« Vrati se
Find all functions f: \mathbb{R} \rightarrow \mathbb{R}, satisfying

f(xy)(f(x) - f(y)) = (x-y)f(x)f(y)
for all x,y.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2294IMO Shortlist 2009 problem A55
2237IMO Shortlist 2007 problem A49
2180IMO Shortlist 2005 problem A416
2149IMO Shortlist 2004 problem A32
2040IMO Shortlist 2000 problem A36
1878IMO Shortlist 1994 problem A40