Link to actual problem [10151] \[ \boxed {3 {y^{\prime \prime }}^{2} x^{2}-2 \left (3 y^{\prime } x +y\right ) y^{\prime \prime }+4 {y^{\prime }}^{2}=0} \]
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*}
\begin{align*} \\ \\ \end{align*}