Link to actual problem [10006] \[ \boxed {2 x^{3} y^{\prime \prime }+x^{2} \left (9+2 x y\right ) y^{\prime }+x y \left (a +3 x y-2 x^{2} y^{2}\right )=-b} \]
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*}