Transforming ODEs and PDEs with radical coefficients into rational coefficients
Jorge Caravantes, J. Rafael Sendra, David Sevilla, Carlos Villarino · arXiv (Cornell University) · 2020
We present an algorithm that transforms, if possible, a given ODE or PDE with radical function coefficients into one with rational coefficients by means of a rational change of variables. It also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebraic varieties.