Link to actual problem [8723] \[ \boxed {{y^{\prime }}^{2}=-\left (y^{\prime }-y\right ) {\mathrm e}^{x}} \]
type detected by program
{"first_order_ode_lie_symmetry_calculated"}
type detected by Maple
[[_1st_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*}