\[ \boxed { \left ( 10\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{3}-3\, \left ( y \left ( x \right ) \right ) ^{2}-2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +5\,x \left ( y \left ( x \right ) \right ) ^{4}+x=0} \]
Mathematica: cpu = 0.024503 (sec), leaf count = 2077 \[ \left \{\left \{y(x)\to -\frac {1}{2} \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}-\frac {1}{2} \sqrt {-\frac {\frac {32}{5 x^2}+\frac {8}{125 x^6}}{4 \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}}-\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}-\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {2}{25 x^4}}+\frac {1}{10 x^2}\right \},\left \{y(x)\to -\frac {1}{2} \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}+\frac {1}{2} \sqrt {-\frac {\frac {32}{5 x^2}+\frac {8}{125 x^6}}{4 \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}}-\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}-\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {2}{25 x^4}}+\frac {1}{10 x^2}\right \},\left \{y(x)\to \frac {1}{2} \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}-\frac {1}{2} \sqrt {\frac {\frac {32}{5 x^2}+\frac {8}{125 x^6}}{4 \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}}-\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}-\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {2}{25 x^4}}+\frac {1}{10 x^2}\right \},\left \{y(x)\to \frac {1}{2} \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}+\frac {1}{2} \sqrt {\frac {\frac {32}{5 x^2}+\frac {8}{125 x^6}}{4 \sqrt {\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}+\frac {1}{25 x^4}}}-\frac {\sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}{15 \sqrt [3]{2} x^2}-\frac {4 \sqrt [3]{2} \left (5 x^4-10 c_1 x^2-2\right )}{5 x^2 \sqrt [3]{2268 x^2-216 c_1+\sqrt {\left (2160 x^2+108 \left (x^2-2 c_1\right )\right ){}^2-4 \left (60 x^4-120 c_1 x^2-24\right ){}^3}}}+\frac {2}{25 x^4}}+\frac {1}{10 x^2}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 28 \[ \left \{ {\frac {{x}^{2} \left ( 5\, \left ( y \left ( x \right ) \right ) ^{4}+1 \right ) }{2}}- \left ( y \left ( x \right ) \right ) ^{3} -2\,y \left ( x \right ) +{\it \_C1}=0 \right \} \]