Let K be a field, and δ a derivation of K. The right zeros of skew polynomials in the formal differential operator ring K[T,δ], with commutation law Tα - αT = δ(α) for any α ε K, are logarithmic derivatives of solutions of linear differential equations in some differential extension of K. For K the Puiseux series field over an algebraically closed field of characteristic zero, and δ the classical derivation, we prove that any polynomial of degree > 1 in K[T,δ] splits, without unicity, into factors of degree one.