Link to actual problem [9989] \[ \boxed {y^{\prime \prime } x +a y^{\prime }+b \,x^{-2 a +5} {\mathrm e}^{y}=0} \]
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*} \\ \\ \end{align*}