This section is used If none of the above algorithms worked in solving \(y^{\prime }=f_{0}+f_{1}y+f_{2}y^{2}\). They broken into part (a) and part(b) with 3 subcases under each part. Part (a) is for removal of linear term (this is \(f_{1}y\) term) and part (b) is for exploring some relations between \(f_{0},f_{1},f_{2}\) that can lead to solutions.