2.21 Abel ode \(y^{\prime }=f_{0}+f_{1}y+f_{2}y^{2}+f_{3}y^{3}\)

2.21.1 introduction
2.21.2 Algorithm
2.21.3 About equivalence between two Abel ode’s
2.21.4 Examples
2.21.5 Abel second kind \(\left ( g_{1}y+g_{0}\left ( x\right ) \right ) y^{\prime }=f_{0}+f_{1}y+f_{2}y^{2}+f_{3}y^{3}\)
2.21.6 Converting Abel first kind ode with non constant invariant to canonical form \(u^{\prime }\left ( \xi \right ) =F\left ( \xi \right ) u^{3}\left ( \xi \right ) \)
2.21.7 Converting Abel first kind to second kind