Link to actual problem [10563] \[ \boxed {y^{\prime }-\lambda \arcsin \left (x \right )^{n} \left (y-a \,x^{m}-b \right )^{2}=a m \,x^{m -1}} \]
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*}