Link to actual problem [2811] \[ \boxed {t^{2} y^{\prime \prime }+y^{\prime } t +25 y=0} \] With initial conditions \begin {align*} \left [y \left (1\right ) = \frac {3 \sqrt {3}}{2}, y^{\prime }\left (1\right ) = {\frac {15}{2}}\right ] \end {align*}
type detected by program
{"kovacic", "second_order_euler_ode", "second_order_change_of_variable_on_x_method_1", "second_order_change_of_variable_on_x_method_2", "second_order_change_of_variable_on_y_method_2"}
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*}