Link to actual problem [4856] \[ \boxed {x^{2} y^{\prime \prime }+y=3 x^{2}} \]
type detected by program
{"kovacic", "second_order_euler_ode"}
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*} \\ \left [R &= \frac {y}{x^{2}}, S \left (R \right ) &= \ln \left (x \right )\right ] \\ \end{align*}