Background DiffResolvent.nb, here gives a method that solve quintic equations using differential equations. There’s a progress to transform polynomial equation into differential equation. Then he gave an example: $ $ x^5-5 x^3+5 x-t = 0$ $ The roots of the equation satisfy the differential equation: $ $ 25 \left(4-t^2\right) x”(t)-25 t x'(t)+x(t)=0$ $ Solve thatRead more