Link to actual problem [8315] \[ \boxed {y^{\prime \prime }-\frac {2 y}{x^{2}}=0} \]
type detected by program
{"kovacic", "second_order_euler_ode", "exact linear second order ode", "second_order_integrable_as_is"}
type detected by Maple
[[_Emden, _Fowler], [_2nd_order, _linear, `_with_symmetry_[0,F(x)]`]]
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 &= x, S \left (R \right ) &= \frac {y}{x^{2}}\right ] \\ \end{align*}
\begin{align*} \\ \\ \end{align*}