Abel differential equations admitting a certain first integral
Abel differential equations in the form \[ \frac{dy}{dx}=a(x)y^3+b(x)y^2+c(x)y+d(x) \] are investigated in the present work. Conditions to have a certain first integral are given and these conditions establishing a bridge with Galois theory. The paper ends with two examples.
scientific article; zbMATH DE number 5757947
scientific article