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.

中文翻译：

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将ODE和PDE从径向系数转换为有理系数

我们提出了一种算法，该算法在可能的情况下，通过变量的有理变化将给定的带基函数系数的ODE或PDE转换为带有理系数的ODE或PDE，从而使解一对一对应。我们的方法也适用于线性ODE系统。它基于先前关于根代数变种的重新参数化的工作。