2.14.5.73 problem 473 out of 2993

Link to actual problem [2919] \[ \boxed {\left (-2+x \right )^{2} y^{\prime \prime }+\left (-2+x \right ) {\mathrm e}^{x} y^{\prime }+\frac {4 y}{x}=0} \] 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*}