Link to actual problem [2952] \[ \boxed {x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+7 y^{\prime } x \,{\mathrm e}^{x}+9 \left (1+\tan \left (x \right )\right ) y=0} \] With the expansion point for the power series method at \(x = 0\).
type detected by program
{"second order series method. Regular singular point. Repeated root"}
type detected by Maple
[[_2nd_order, _with_linear_symmetries]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)