Transforming ODEs and PDEs with radical coefficients into rational coefficients

13 Mar 2020  ·  Jorge Caravantes, J. Rafael Sendra, David Sevilla, Carlos Villarino ·

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.

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Classical Analysis and ODEs Symbolic Computation Algebraic Geometry
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