Homogeneous type C y′ = (a + bx + cy) n _

y^{'} = {(a + b x + c y)}^{\frac{1}{n}}

3.3.8.3 Solving

y^{'} = {(a + b x + c y)}^{m}

3.3.8.4 Examples
3.3.8.5 References

ode internal name "homogeneousTypeC"

Ode has the form $y^{'} = {(a + b x + c y)}^{\frac{n}{m}}$ where $n, m$ integers. Solved by substituting $z = (a + b x + c y)$ .