Link to actual problem [9770] \[ \boxed {y^{\prime \prime }+\frac {f^{\prime }\left (x \right ) y^{\prime }}{2 f \left (x \right )}+\frac {g \left (x \right ) y}{f \left (x \right )}=0} \]
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*}