Computations with Differential Rational Parametric Equations
نویسنده
چکیده
This paper studies several computational problems about differential rational parametric equations. We present a method of implicitization for general differential rational parametric equations. We also present a method to decide whether the parameters of a set of parametric equations are independent, and if not, re-parameterize the parametric equations so that the new parametric equations have independent parameters. We give a method to compute the inversion maps of differential parametric equations, and as a consequence, we can decide whether the parametric equations are proper. A method to find a proper re-parameterization for a set of improper parametric differential equations of differential variety of dimension one is presented.
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