Link to actual problem [10120] \[ \boxed {x^{3} y^{2} y^{\prime \prime }+\left (x +y\right ) \left (y^{\prime } x -y\right )^{3}=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_2nd_order, _with_linear_symmetries]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)