2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58373It is shown that the Monge equation is equivalent to the ordinary differential equation $\ddot X=0$ of free motion. Equations of Monge type (with their general solutions) are connected with each ordinary differential equation of second order $\ddot X=F(\dot X,X; t)$, integrable by quadratures. The result is generalised to a system of equations of the second order, which is in one to one correspondence with the multidimensional Monge-Bateman system.LaTeX, 6 pagesMathematical PhysicsExactly Solvable and Integrable Systemstext