Link to actual problem [9912] \[ \boxed {\left (-a +x \right )^{5} \left (x -b \right )^{5} y^{\left (5\right )}-c y=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_high_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*} \text {Expression too large to display} \\ \text {Expression too large to display} \\ \end{align*}
\begin{align*} \text {Expression too large to display} \\ \text {Expression too large to display} \\ \end{align*}
\begin{align*} \text {Expression too large to display} \\ \text {Expression too large to display} \\ \end{align*}
\begin{align*} \\ \left [R &= y \left (x -a \right )^{-\frac {4 a}{a -b}} \left (x -b \right )^{\frac {4 b}{a -b}}, S \left (R \right ) &= -\frac {-\ln \left (x -a \right )+\ln \left (x -b \right )}{a -b}\right ] \\ \end{align*}
\begin{align*} \text {Expression too large to display} \\ \text {Expression too large to display} \\ \end{align*}