Link to actual problem [10084] \[ \boxed {x y y^{\prime \prime }-x {y^{\prime }}^{2}+a y^{\prime } y+b x y^{3}=0} \]
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 \(R,S\)\begin{align*} \\ \\ \end{align*}