Link to actual problem [15381] \[ \boxed {y^{\prime \prime }+4 y^{\prime }+3 y=8 \,{\mathrm e}^{x}+9} \] With initial conditions \begin {align*} [y \left (-\infty \right ) = 3] \end {align*}
type detected by program
{"kovacic", "second_order_linear_constant_coeff"}
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*} \\ \\ \end{align*}