Link to actual problem [11117] \[ \boxed {y^{\prime \prime }+\left (a \,{\mathrm e}^{\lambda x}+{\mathrm e}^{\mu x} b \right ) y^{\prime }+a \,{\mathrm e}^{\lambda x} \left ({\mathrm e}^{\mu x} b +\lambda \right ) y=0} \]
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 \(R,S\)\begin{align*} \\ \\ \end{align*}