We show that for certain systems of Okubo type we can find a solution vector, all components
of which are expressed in terms of the first one. This first component solves a Volterra integral
equation with the kernel expressed in terms of the solutions of reduced Okubo-type systems
of smaller dimension. Such a solution is also expressed as a power series about the origin
with coefficients satisfying certain recurrence relation. This extends results in [W. Balser,
C. Röscheisen, J. Differential Equations, 2009].Agencia Estatal de InvestigaciónUniversidad de Alcal
