3.3.8 Homogeneous type C \(y^{\prime }=\left ( a+bx+cy\right ) ^{\frac {n}{m}}\)

ode internal name "homogeneousTypeC"

Ode has the form \(y^{\prime }=\left ( a+bx+cy\right ) ^{\frac {n}{m}}\) where \(n,m\) integers. Solved by substituting \(z=\left ( a+bx+cy\right ) \) .