\[ \boxed { \left ( y \left ( x \right ) \right ) ^{m}{x}^{n} \left ( ax{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +by \left ( x \right ) \right ) +\alpha \,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +\beta \,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.313540 (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 = 0.249 (sec), leaf count = 78 \[ \left \{ {x}^{a\beta \,mn-b\beta \,{m}^{2}} \left ( \left ( y \left ( x \right ) \right ) ^{m} \right ) ^{a\alpha \,n-\alpha \,bm} \left ( \left ( y \left ( x \right ) \right ) ^{m}{x}^{n}na- \left ( y \left ( x \right ) \right ) ^{m}m{x}^{n}b+\alpha \,n-\beta \,m \right ) ^{-a\beta \, m+\alpha \,bm}-{\it \_C1}=0 \right \} \]