2.13.1.79 problem 79 out of 223

Link to actual problem [6935] \[ \boxed {2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y=0} \] With the expansion point for the power series method at \(x = 0\).

type detected by program

{"second order series method. Regular singular point. Difference not integer"}

type detected by Maple

[[_Emden, _Fowler], [_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*} \\ \left [R &= x, S \left (R \right ) &= \frac {y}{x^{2}}\right ] \\ \end{align*}

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