Transforming ODEs and PDEs with radical coefficients into rational coefficients

Published 13 Mar 2020 in math.CA, cs.SC, and math.AG | (2003.06301v1)

Abstract: 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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