Link to actual problem [2710] \[ \boxed {p \left (x \right ) \ln \left (y\right )=-\frac {y^{\prime }}{y}+q \left (x \right )} \]
type detected by program
{"exactWithIntegrationFactor"}
type detected by Maple
[[_1st_order, `_with_symmetry_[F(x),G(x)*y+H(x)]`]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\).\begin{align*} \\ \\ \end{align*}