Link to actual problem [10012] \[ \boxed {y^{\prime \prime } \sqrt {x}-y^{\frac {3}{2}}=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_Emden, _Fowler], [_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}{3}, \underline {\hspace {1.25 ex}}\eta &= y\right ] \\ \\ \end{align*}