2.13.2.62 problem 162 out of 223

Link to actual problem [11897] \[ \boxed {x^{2} y^{\prime \prime }+y^{\prime } x +y=0} \] With the expansion point for the power series method at \(x = 1\).

type detected by program

{"second order series method. Ordinary point", "second_order_change_of_variable_on_x_method_1", "second_order_change_of_variable_on_x_method_2", "second order series method. Taylor series method"}

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