2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78599We 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.24 pagesClassical Analysis and ODEs34A46;34A05;01A70text