\[ \boxed { \left ( 6\, \left ( y \left ( x \right ) \right ) ^{2}-3\,{x}^{2}y \left ( x \right ) +1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -3\,x \left ( y \left ( x \right ) \right ) ^{2}+x=0} \]
Mathematica: cpu = 0.017502 (sec), leaf count = 534 \[ \left \{\left \{y(x)\to -\frac {\sqrt [3]{4 \sqrt {3} \sqrt {-54 c_1 x^6+648 c_1 x^2+432 c_1^2-27 x^8+207 x^4+32}+144 c_1-9 x^6+108 x^2}}{4\ 3^{2/3}}+\frac {6-\frac {9 x^4}{4}}{3 \sqrt [3]{3} \sqrt [3]{4 \sqrt {3} \sqrt {-54 c_1 x^6+648 c_1 x^2+432 c_1^2-27 x^8+207 x^4+32}+144 c_1-9 x^6+108 x^2}}+\frac {x^2}{4}\right \},\left \{y(x)\to \frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{4 \sqrt {3} \sqrt {-54 c_1 x^6+648 c_1 x^2+432 c_1^2-27 x^8+207 x^4+32}+144 c_1-9 x^6+108 x^2}}{8\ 3^{2/3}}-\frac {\left (1+i \sqrt {3}\right ) \left (6-\frac {9 x^4}{4}\right )}{6 \sqrt [3]{3} \sqrt [3]{4 \sqrt {3} \sqrt {-54 c_1 x^6+648 c_1 x^2+432 c_1^2-27 x^8+207 x^4+32}+144 c_1-9 x^6+108 x^2}}+\frac {x^2}{4}\right \},\left \{y(x)\to \frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{4 \sqrt {3} \sqrt {-54 c_1 x^6+648 c_1 x^2+432 c_1^2-27 x^8+207 x^4+32}+144 c_1-9 x^6+108 x^2}}{8\ 3^{2/3}}-\frac {\left (1-i \sqrt {3}\right ) \left (6-\frac {9 x^4}{4}\right )}{6 \sqrt [3]{3} \sqrt [3]{4 \sqrt {3} \sqrt {-54 c_1 x^6+648 c_1 x^2+432 c_1^2-27 x^8+207 x^4+32}+144 c_1-9 x^6+108 x^2}}+\frac {x^2}{4}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 587 \[ \left \{ y \left ( x \right ) ={\frac {1}{12}\sqrt [3]{-324\,{x}^{2}-432 \,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x}^{8}-162\,{\it \_C1}\,{x}^ {6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+1296\,{{\it \_C1}}^{2}+96}}}- 12\,{\frac {1/6-1/16\,{x}^{4}}{\sqrt [3]{-324\,{x}^{2}-432\,{\it \_C1} +27\,{x}^{6}+12\,\sqrt {-81\,{x}^{8}-162\,{\it \_C1}\,{x}^{6}+621\,{x} ^{4}+1944\,{x}^{2}{\it \_C1}+1296\,{{\it \_C1}}^{2}+96}}}}+{\frac {{x} ^{2}}{4}},y \left ( x \right ) =-{\frac {1}{24}\sqrt [3]{-324\,{x}^{2}- 432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x}^{8}-162\,{\it \_C1}\,{ x}^{6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+1296\,{{\it \_C1}}^{2}+96} }}+6\,{\frac {1/6-1/16\,{x}^{4}}{\sqrt [3]{-324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x}^{8}-162\,{\it \_C1}\,{x}^{6}+621 \,{x}^{4}+1944\,{x}^{2}{\it \_C1}+1296\,{{\it \_C1}}^{2}+96}}}}+{ \frac {{x}^{2}}{4}}-{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{12} \sqrt [3]{-324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x }^{8}-162\,{\it \_C1}\,{x}^{6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+ 1296\,{{\it \_C1}}^{2}+96}}}+12\,{\frac {1/6-1/16\,{x}^{4}}{\sqrt [3]{ -324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x}^{8}-162 \,{\it \_C1}\,{x}^{6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+1296\,{{ \it \_C1}}^{2}+96}}}} \right ) ,y \left ( x \right ) =-{\frac {1}{24} \sqrt [3]{-324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x }^{8}-162\,{\it \_C1}\,{x}^{6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+ 1296\,{{\it \_C1}}^{2}+96}}}+6\,{\frac {1/6-1/16\,{x}^{4}}{\sqrt [3]{- 324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\,{x}^{8}-162\, {\it \_C1}\,{x}^{6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+1296\,{{\it \_C1}}^{2}+96}}}}+{\frac {{x}^{2}}{4}}+{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{12}\sqrt [3]{-324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\, \sqrt {-81\,{x}^{8}-162\,{\it \_C1}\,{x}^{6}+621\,{x}^{4}+1944\,{x}^{2 }{\it \_C1}+1296\,{{\it \_C1}}^{2}+96}}}+12\,{\frac {1/6-1/16\,{x}^{4} }{\sqrt [3]{-324\,{x}^{2}-432\,{\it \_C1}+27\,{x}^{6}+12\,\sqrt {-81\, {x}^{8}-162\,{\it \_C1}\,{x}^{6}+621\,{x}^{4}+1944\,{x}^{2}{\it \_C1}+ 1296\,{{\it \_C1}}^{2}+96}}}} \right ) \right \} \]