Link to actual problem [7529] \[ \boxed {y^{\prime \prime } x^{2}-2 x \left (1+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y=0} \]
type detected by program
{"kovacic", "second_order_change_of_variable_on_y_method_1"}
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*} \\ \\ \end{align*}
\begin{align*} \\ \\ \end{align*}