MK-MO 2007 Problem 4

Find all functions $f : \mathbb{R}\to\mathbb{R}$ that satisfy $f (x^{3} + y^{3}) = x^{2}f (x) + yf (y^{2})$ for all $x, y \in\mathbb R.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.