Question: Inverse function for quintic polynomial

It is well know that the quintic equation is not solved by radicals generally. Although the solution for quintic equation is expressed explicitly by using Jacobi theta functions, in the following site I tried to find a differential equation as a solution for inverse function of general quintic polynomial, and found it is expressed with the 5-th degree nonlinear differential equation.

http://hecoaustralia.fortunecity.com/stbruno/stbruno-s.htm

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