TH-TMO 2023 Problem 3

Defined all $f : \mathbb{R} \to \mathbb{R}$ that satisfied equation $f(x)f(y)f(x-y)=x^2f(y)-y^2f(x)$ for all $x,y \in \mathbb{R}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.