Link to actual problem [11065] \[ \boxed {x^{n} y^{\prime \prime }+y^{\prime } a x -\left (b^{2} x^{n}+2 b \,x^{n -1}+a b x +a \right ) y=0} \]
type detected by program
{"unknown"}
type detected by Maple
[[_2nd_order, _with_linear_symmetries]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)