2.14.7.25 problem 625 out of 2993

Link to actual problem [5143] \[ \boxed {y^{\prime \prime }-6 y^{\prime }+8 y=8 \,{\mathrm e}^{4 x}} \]

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*}

\begin{align*} \\ \\ \end{align*}