2.20.3.4.5 Examples for section 3-1-3 (b) Relations between the
coefficients, subcase (ii)
2.20.3.4.5.1 Algorithm
This is covered in section 3-1-3 (a) Removal of linear term, subcase (i), where the linear
term is removed giving
\[ u^{\prime }=F\left ( x\right ) +G\left ( x\right ) u^{2}\]
And it turns out that
\(F\left ( x\right ) \) is proportional to
\(G\left ( x\right ) \) making it separable. See
example above.