1.3.5 Examples for section 3-1-1. One known particular solution is given
1.3.5.1 Algorithm
1.3.5.2 Example \(y^{\prime }=x^{5}+\left ( \frac {1}{x}-2x^{4}\right ) y+x^{3}y^{2}\)
1.3.5.3 Example \(y^{\prime }=3a-a^{2}x^{2}+y^{2}\)
1.3.5.4 Example \(y^{\prime }=ax^{n-1}+ax^{n}y+y^{2}\)
1.3.5.5 Example \(xy^{\prime }=-ab^{2}x^{n+2m}+my+ax^{n}y^{2}\)