\[ \boxed { \left ( b \left ( \beta \,y \left ( x \right ) +\alpha \,x \right ) ^{2}-\beta \, \left ( ax+by \left ( x \right ) \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +a \left ( \beta \,y \left ( x \right ) +\alpha \,x \right ) ^{2}-\alpha \, \left ( ax+by \left ( x \right ) \right ) =0} \]
Mathematica: cpu = 0.460558 (sec), leaf count = 39 \[ \text {Solve}\left [\frac {a \beta \left (\log (a x+b y(x))+\frac {1}{\alpha x+\beta y(x)}\right )}{a \beta -\alpha b}=c_1,y(x)\right ] \]
Maple: cpu = 0.109 (sec), leaf count = 50 \[ \left \{ y \left ( x \right ) ={\frac {-ax+{{\rm e}^{{\it RootOf} \left ( {\it \_C1}\,a\beta \,x-{\it \_C1}\,\alpha \,bx-{\it \_Z}\,a\beta \,x+{\it \_Z}\,\alpha \,bx-{\it \_C1}\,\beta \,{{\rm e}^{{\it \_Z}}}+{ {\rm e}^{{\it \_Z}}}{\it \_Z}\,\beta +b \right ) }}}{b}} \right \} \]