TH-TMO 2019 Problem 3

Find all functions $f:\mathbb{R}^+\to\mathbb{R}^+$ such that $f(x+yf(x)+y^2) = f(x)+2y$ for every $x,y\in\mathbb{R}^+$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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