\[ x^n y(x)^m \left (a x y'(x)+b y(x)\right )+\alpha x y'(x)+\beta y(x)=0 \] ✓ Mathematica : cpu = 0.741449 (sec), leaf count = 102
\[\text {Solve}\left [\frac {m \left ((a \beta -\alpha b) \log \left (x^n y(x)^m (b m-a n)-\alpha n+\beta m\right )+\beta \log (x) (b m-a n)\right )}{(b m-a n) (\beta m-\alpha n)}+\frac {\alpha m \log (\beta m y(x)-\alpha n y(x))}{\beta m-\alpha n}=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.443 (sec), leaf count = 71
\[x^{\beta m \left (a n -b m \right )} \left (y \relax (x )^{m}\right )^{\alpha \left (a n -b m \right )} \left (x^{n} \left (a n -b m \right ) y \relax (x )^{m}-\beta m +\alpha n \right )^{-a \beta m +b m \alpha }-c_{1} = 0\]