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

2.2.6.1 Introduction
2.2.6.2 Solving \(y^{\prime }=\left ( a+bx+cy\right ) ^{\frac {1}{n}}\)
2.2.6.3 Solving \(y^{\prime }=\left ( a+bx+cy\right ) ^{m}\)
2.2.6.4 Examples
2.2.6.5 References

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 \(z=\left ( a+bx+cy\right ) \) .