Link to actual problem [6054] \[ \boxed {4 x^{2} y^{\prime \prime }-4 y^{\prime } {\mathrm e}^{x} x +3 y \cos \left (x \right )=0} \] 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 \(R,S\)