Link to actual problem [10064] \[ \boxed {2 y^{\prime \prime } y-3 {y^{\prime }}^{2}+y^{2} f \left (x \right )=0} \]
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*}