Link to actual problem [9606] \[ \boxed {4 x^{2} y^{\prime \prime }+4 y^{\prime } x +f \left (x \right ) y=0} \]
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*}