2.13.1.31 problem 31 out of 223

Link to actual problem [1808] \[ \boxed {t^{2} y^{\prime \prime }+\left (-t^{2}+3 t \right ) y^{\prime }-y t=0} \] With the expansion point for the power series method at \(t = 0\).

type detected by program

{"second order series method. Regular singular point. Difference is integer"}

type detected by Maple

[_Laguerre, [_2nd_order, _linear, `_with_symmetry_[0,F(x)]`]]

Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\).\begin{align*} \\ \\ \end{align*}

\begin{align*} \\ \\ \end{align*}