Link to actual problem [4064] \[ \boxed {{y^{\prime }}^{2}-2 y^{\prime } y^{2} x^{3}-4 y^{3} x^{2}=0} \]
type detected by program
{"first_order_ode_lie_symmetry_calculated"}
type detected by Maple
[[_1st_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}{4}, \underline {\hspace {1.25 ex}}\eta &= y\right ] \\ \\ \end{align*}