Link to actual problem [9982] \[ \boxed {y^{\prime \prime }-x^{-2+n} f \left (y x^{-n}, y^{\prime } x^{1-n}\right )=0} \]
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 \(R,S\)