\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) \right ) ^{3}{a}^{3}{x}^{3}+3\, \left ( y \left ( x \right ) \right ) ^{2}{a}^{2}{x}^{2}+3\,axy \left ( x \right ) +1+{a}^{2}x}{{a}^{3}{x}^{3}}}=0} \]
Mathematica: cpu = 0.017502 (sec), leaf count = 49 \[ \left \{\left \{y(x)\to -\frac {1}{a x}-\frac {1}{\sqrt {c_1-2 x}}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 x}}-\frac {1}{a x}\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 41 \[ \left \{ y \left ( x \right ) =-{\frac {1}{\sqrt {{\it \_C1}-2\,x}}}-{ \frac {1}{ax}},y \left ( x \right ) ={\frac {1}{\sqrt {{\it \_C1}-2\,x}} }-{\frac {1}{ax}} \right \} \]