Link to actual problem [5817] \[ \boxed {y^{\prime \prime \prime }-2 x y^{\prime \prime }+4 y^{\prime } x^{2}+8 x^{3} y=0} \]
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*}