Solution of ordinary differential equations via nonlocal transformations

The classical Lie analysis provides a useful technique for the solution of ordinary differential equations via point symmetries/transformations. Unfortunately, the requirement that an nth-order equation possesses at least an n-dimensional solvable Lie algebra of symmetries is only satisfied by a select number of equations. We provide a class of second-order ordinary differential equations with less than the required two Lie point symmetries that can be solved via nonlocal transformations.