  We give a definition of integration by quadratures of first-order ordinary
differential equations, and recover a little known result by Maximovic which
states that a first-order ordinary differential equation can be integrated by
quadratures only if it arises from the linear equation by a diffeomorphic
transformation of the dependent variable. In the appendix this result is
applied to the linear second-order equation in a restricted setting. A brief
outline of Maximovic's life is also included.
