2020 OIM Problems/Problem 5

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Problem

Find all functions $f : \mathbb{R} \to \mathbb{R}$ such that

\[f(xf(x-y))+yf(x)=x+y+f(x^2)\]

for any real numbers $x, y$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

OIM Problems and Solutions