Question 63
Find all functions $f: \mathbb{R} \to \mathbb{R}$ that for all real $x$ and $y$ satisfy the equation
$$
f(y^2 - f(x)) = yf(x)^2 + f(x^2y + y).
$$
$$
f(y^2 - f(x)) = yf(x)^2 + f(x^2y + y).
$$
MathNet 2018-part-01 — 181 problems (EN–VI) Question 63
Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)