Link to actual problem [15059] \[ \boxed {y^{\prime }-y \left ({\mathrm e}^{x}+\ln \left (y\right )\right )=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_1st_order, `_with_symmetry_[F(x),G(x)*y+H(x)]`]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\).\begin{align*} \\ \\ \end{align*}