Link to actual problem [10921] \[ \boxed {x y^{\prime \prime }+\left (x^{n} a b +b -3 n +1\right ) y^{\prime }+a^{2} n \left (-n +b \right ) x^{2 n -1} y=0} \]
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*}