Question 59
Find all functions $f : \mathbb{R} \to \mathbb{R}$, that satisfy the following condition
$$
f(f(x) + x f(y)) = x f(y + 1), \forall x, y \in \mathbb{R}.
$$
(Alexander Ivanov)
$$
f(f(x) + x f(y)) = x f(y + 1), \forall x, y \in \mathbb{R}.
$$
(Alexander Ivanov)