Link to actual problem [6915] \[ \boxed {y^{\prime \prime }+\left (x -2\right ) y=0} \] With the expansion point for the power series method at \(x = 2\).
type detected by program
{"second_order_airy", "second_order_bessel_ode", "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*} \\ \left [R &= x, S \left (R \right ) &= \frac {y}{\operatorname {AiryAi}\left (2-x \right )}\right ] \\ \end{align*}
\begin{align*} \\ \left [R &= x, S \left (R \right ) &= \frac {y}{\operatorname {AiryBi}\left (2-x \right )}\right ] \\ \end{align*}