Problem

Source: Indonesia IMO 2010 TST, Stage 1, Test 2, Problem 2

Tags: function, induction, algebra proposed, algebra, functional equation



Find all functions $ f: \mathbb{R} \rightarrow \mathbb{R}$ satisfying \[ f(x^3+y^3)=xf(x^2)+yf(y^2)\] for all real numbers $ x$ and $ y$. Hery Susanto, Malang