\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) \right ) ^{3}-3\,x \left ( y \left ( x \right ) \right ) ^{2}+3\,{x}^{2}y \left ( x \right ) -{x}^{3}+x}{x}}=0} \]
Mathematica: cpu = 0.011001 (sec), leaf count = 37 \[ \left \{\left \{y(x)\to x-\frac {1}{\sqrt {c_1-2 \log (x)}}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 \log (x)}}+x\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 57 \[ \left \{ y \left ( x \right ) ={1 \left ( x\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }-1 \right ) {\frac {1}{\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }}}},y \left ( x \right ) ={1 \left ( x\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }+1 \right ) {\frac {1}{\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }}}} \right \} \]