Link to actual problem [9717] \[ \boxed {y^{\prime \prime }+\frac {3 y}{16 x^{2} \left (x -1\right )^{2}}=0} \]
type detected by program
{"kovacic", "second_order_bessel_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}{-1+x}, S \left (R \right ) &= \ln \left (-1+x \right )-\ln \left (x \right )\right ] \\ \end{align*}