Link to actual problem [9815] \[ \boxed {x^{2} y^{\prime \prime \prime }+\left (x +1\right ) y^{\prime \prime }-y=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_3rd_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*}