Link to actual problem [1026] \[ \boxed {\left (y+{\mathrm e}^{x^{2}}\right ) y^{\prime }-2 x \left (y^{2}+{\mathrm e}^{x^{2}} y+{\mathrm e}^{2 x^{2}}\right )=0} \]
type detected by program
{"exactWithIntegrationFactor"}
type detected by Maple
[[_1st_order, `_with_symmetry_[F(x),G(y)]`], [_Abel, `2nd type`, `class A`]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\).\begin{align*} \left [\underline {\hspace {1.25 ex}}\xi &= \frac {1}{2 x}, \underline {\hspace {1.25 ex}}\eta &= y\right ] \\ \\ \end{align*}