  We investigate the problem of recovering coefficients in scalar nonlinear
ordinary differential equations that can be exactly linearized. This
contribution builds upon prior work by Lyakhov, Gerdt, and Michels, which
focused on obtaining a linearizability certificate through point
transformations. Our focus is on quasi-linear equations, specifically those
solved for the highest derivative with a rational dependence on the variables
involved. Our novel algorithm for coefficient recovery relies on basic
operations on Lie algebras, such as computing the derived algebra and the
dimension of the symmetry algebra. This algorithmic approach is efficient,
although finding the linearization transformation necessitates computing at
least one solution of the corresponding Bluman-Kumei equation system.
