Link to actual problem [10004] \[ \boxed {x^{3} \left (y^{\prime \prime }+y^{\prime } y-y^{3}\right )+12 x y=-24} \]
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*}