2.14.8.66 problem 766 out of 2993

Link to actual problem [5645] \[ \boxed {x y^{\prime \prime }+\left (2-2 x \right ) y^{\prime }+y \left (x -2\right )=0} \] With the expansion point for the power series method at \(x = 0\).

type detected by program

{"second order series method. Regular singular point. Difference is integer"}

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*}