2.15.3.19 problem 219 out of 249

Link to actual problem [14694] \[ \boxed {y^{\prime \prime \prime }-4 y^{\prime \prime }-11 y^{\prime }+30 y={\mathrm e}^{4 t}} \]

type detected by program

{"higher_order_linear_constant_coefficients_ODE"}

type detected by Maple

[[_3rd_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*}

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