%0 Journal Article %A Caravantes Tortajada, Jorge %A Sendra Pons, Juan Rafael %A Sevilla, David %A Villarino Cabellos, Carlos %T Transforming ODEs and PDEs from radical coefficients to rational coefficients %D 2021 %@ 1660-5446 %U http://hdl.handle.net/10017/49677 %X 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 so that solutions correspond one-to-one. Our method also applies to systems of linear ODEs. It is based on previous work on reparametrization of radical algebraic varieties. %K Algebraic ordinary differential equations %K Algebraic partial differential equations %K Rational reparametrization %K Radical coefficients %K Matemáticas %K Mathematics %~ Biblioteca Universidad de Alcala