Link to actual problem [10160] Solve \begin {gather*} \boxed {y^{\prime \prime \prime }+y^{\prime \prime } y-\left (y^{\prime }\right )^{2}+1=0} \end {gather*}
type detected by program
{"unknown"}
type detected by Maple
[[_3rd_order, _missing_x], [_3rd_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*}