Link to actual problem [9987] \[ \boxed {y^{\prime \prime } x +2 y^{\prime }+x \,{\mathrm e}^{y}=0} \]
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*} \left [\underline {\hspace {1.25 ex}}\xi &= -\frac {x}{2}, \underline {\hspace {1.25 ex}}\eta &= 1\right ] \\ \\ \end{align*}