Question 94
Find all functions $f: \mathbb{R}_{\gt 0} \rightarrow \mathbb{R}_{\geq 0}$ such that for all $x, y \in \mathbb{R}_{\gt 0}$:
$$
f(x)-f(x+y)=f\left(x^{2} f(y)+x\right)
$$
$$
f(x)-f(x+y)=f\left(x^{2} f(y)+x\right)
$$
MathNet 2017-part-06 — 176 problems (EN–VI) Question 94
Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)