  Solving systems of non-autonomous ordinary differential equations (ODE) is a
crucial and often challenging problem. Recently a new approach was introduced
based on a generalization of the Volterra composition. In this work, we explain
the main ideas at the core of this approach in the simpler setting of a scalar
ODE. Understanding the scalar case is fundamental since the method can be
easily extended to the more challenging problem of systems of ODEs. Numerical
examples illustrate the method's efficacy and its properties in the scalar
case.
