2.14.30.18 problem 2918 out of 2993

Link to actual problem [14782] \[ \boxed {y^{\prime \prime }-y^{\prime }-2 y={\mathrm e}^{-x}} \] With the expansion point for the power series method at \(x = 0\).

type detected by program

{"second_order_linear_constant_coeff", "second order series method. Ordinary point", "second order series method. Taylor series method"}

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*}