Question 105
Find all functions $f: \mathbb{R} \to \mathbb{R}$ satisfying
$$
f(x^2y) + 2f(y^2) = (x^2 + f(y)) \cdot f(y)
$$
for all $x, y \in \mathbb{R}$.
$$
f(x^2y) + 2f(y^2) = (x^2 + f(y)) \cdot f(y)
$$
for all $x, y \in \mathbb{R}$.
MathNet 2020 — Math Olympiad Vault — Part 01 Question 105
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 01