Link to actual problem [8734] \[ \boxed {2 {y^{\prime }}^{2}+\left (x -1\right ) y^{\prime }-y=0} \]
type detected by program
{"clairaut"}
type detected by Maple
[[_1st_order, _with_linear_symmetries], _Clairaut]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)