2.14.9.78 problem 878 out of 2993

Link to actual problem [6441] \[ \boxed {x^{3} \left (x -1\right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+3 y x=0} \] With the expansion point for the power series method at \(x = 0\).

type detected by program

{"second order series method. Irregular singular point"}

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*}