2.14.5.74 problem 474 out of 2993

Link to actual problem [2920] \[ \boxed {y^{\prime \prime }+\frac {2 y^{\prime }}{x \left (x -3\right )}-\frac {y}{x^{3} \left (x +3\right )}=0} \] 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*}