Link to actual problem [10002] \[ \boxed {4 x^{2} y^{\prime \prime }-x^{4} {y^{\prime }}^{2}+4 y=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_2nd_order, _with_linear_symmetries]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)\begin{align*} \left [\underline {\hspace {1.25 ex}}\xi &= -\frac {x}{2}, \underline {\hspace {1.25 ex}}\eta &= y\right ] \\ \\ \end{align*}