Link to actual problem [10527] \[ \boxed {y^{\prime }-y^{2} a -2 y \tan \left (x \right ) a b=b \left (a b -1\right ) \tan \left (x \right )^{2}} \]
type detected by program
{"riccati"}
type detected by Maple
[[_1st_order, `_with_symmetry_[F(x),G(x)]`], _Riccati]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\).\begin{align*} \\ \\ \end{align*}