Question 92
Determine all functions $f$ from $\mathbb{R}$ to $\mathbb{R}$ such that for all real $x, y$:
$$
f(x) f(y) f(x-y) = x^{2} f(y) - y^{2} f(x)
$$
$$
f(x) f(y) f(x-y) = x^{2} f(y) - y^{2} f(x)
$$
MathNet 2024-part-02 — 168 problems (EN–VI) Question 92
Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)