On the rational solutions of generalized Abel equations

L. A. Calderon, I. Ojeda

We study nonconstant rational solutions of \[ x'=A_3(t)x^{n_3}+A_2(t)x^{n_2}+A_1(t)x^{n_1}, \qquad 1<n_1<n_2<n_3, \] with $A_i\in \mathbb{k}[t]$, $\mathbb{k}\in \{\mathbb{R},\mathbb{C}\}$. We pr…