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2020 OIM Problems/Problem 5

Revision as of 13:57, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Find all functions <math>f : \mathbb{R} \to \mathbb{R}</math> such that <cmath>f(xf(x-y))+yf(x)=x+y+f(x^2)</cmath> for any real numbers <math>x, y</math>. ~tr...")
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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

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