Link to actual problem [8979] \[ \boxed {y^{\prime }-\left (-\ln \left (y\right )+x \right ) y=0} \]
type detected by program
{"first_order_ode_lie_symmetry_calculated"}
type detected by Maple
[[_1st_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*}
My program’s symgen result This shows my program’s found \(\xi ,\eta \) and the corresponding ODE in canonical coordinates \(R,S\).\begin{align*} \xi &= 0 \\ \eta &=y +\ln \left (y \right ) y -x y \\ \frac {dS}{dR} &= -1 \\ \end{align*}