Link to actual problem [4342] \[ \boxed {y^{\prime } \ln \left (y^{\prime }\right )-\left (x +1\right ) y^{\prime }+y=0} \]
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 \(R,S\)\begin{align*} \\ \\ \end{align*}