\[ \boxed { \left ( 20\, \left ( y \left ( x \right ) \right ) ^{3}-3\,x \left ( y \left ( x \right ) \right ) ^{2}+6\,{x}^{2}y \left ( x \right ) +3\,{x}^{3} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{3}+6\,x \left ( y \left ( x \right ) \right ) ^{2}+9\,{x}^{2}y \left ( x \right ) +4\,{x}^{3}=0} \]
Mathematica: cpu = 0.051506 (sec), leaf count = 2201 \[ \left \{\left \{y(x)\to \frac {x}{20}+\frac {1}{2} \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}-\frac {1}{2} \sqrt {-\frac {659 x^3}{500 \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}}-\frac {39 x^2}{50}-\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}-\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}\right \},\left \{y(x)\to \frac {x}{20}+\frac {1}{2} \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}+\frac {1}{2} \sqrt {-\frac {659 x^3}{500 \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}}-\frac {39 x^2}{50}-\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}-\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}\right \},\left \{y(x)\to \frac {x}{20}-\frac {1}{2} \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}-\frac {1}{2} \sqrt {\frac {659 x^3}{500 \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}}-\frac {39 x^2}{50}-\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}-\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}\right \},\left \{y(x)\to \frac {x}{20}-\frac {1}{2} \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}+\frac {1}{2} \sqrt {\frac {659 x^3}{500 \sqrt {-\frac {39 x^2}{100}+\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}+\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}}-\frac {39 x^2}{50}-\frac {\sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}{5 \sqrt [3]{2} 3^{2/3}}-\frac {2 \sqrt [3]{\frac {2}{3}} \left (13 x^4-10 e^{c_1}\right )}{5 \sqrt [3]{99 x^6+351 e^{c_1} x^2+\sqrt {3} \sqrt {-67037 x^{12}+185406 e^{c_1} x^8-83733 e^{2 c_1} x^4+32000 e^{3 c_1}}}}}\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 50 \[ \left \{ y \left ( x \right ) ={\frac {{\it RootOf} \left ( {x}^{4}{{\it \_C1}}^{4}+3\,{x}^{3}{{\it \_C1}}^{3}{\it \_Z}+3\,{{\it \_C1}}^{2}{{ \it \_Z}}^{2}{x}^{2}-{\it \_C1}\,{{\it \_Z}}^{3}x+5\,{{\it \_Z}}^{4}-1 \right ) }{{\it \_C1}}} \right \} \]