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functional equation

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

November 12, 2009

functioninductionalgebra proposedalgebrafunctional equation

Problem Statement

Find all functions

f: \mathbb{R} \rightarrow \mathbb{R}

satisfying f(x^3\plus{}y^3)\equal{}xf(x^2)\plus{}yf(y^2) for all real numbers

x

and

y

. Hery Susanto, Malang