2.14.4.57 problem 357 out of 2993

Link to actual problem [1805] \[ \boxed {t^{3} y^{\prime \prime }-t y^{\prime }-\left (t^{2}+\frac {5}{4}\right ) y=0} \] With the expansion point for the power series method at \(t = 0\).

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*}