Link to actual problem [15118] \[ \boxed {y^{\prime }+y^{2}-2 y \sin \left (x \right )=-\sin \left (x \right )^{2}+\cos \left (x \right )} \]
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*}