\[ y'(x)=\frac {-2 x^2 y(x)^2+x^4+y(x)^4+x}{y(x)} \] ✓ Mathematica : cpu = 0.111167 (sec), leaf count = 74
\[\left \{\left \{y(x)\to -\frac {\sqrt {2 x^3+2 c_1 x^2-1}}{\sqrt {2} \sqrt {x+c_1}}\right \},\left \{y(x)\to \frac {\sqrt {2 x^3+2 c_1 x^2-1}}{\sqrt {2} \sqrt {x+c_1}}\right \}\right \}\] ✓ Maple : cpu = 0.221 (sec), leaf count = 72
\[ \left \{ y \left ( x \right ) ={\frac {\sqrt {2}}{2\,x+2\,{\it \_C1}}\sqrt { \left ( x+{\it \_C1} \right ) \left ( 2\,{\it \_C1}\,{x}^{2}+2\,{x}^{3}-1 \right ) }},y \left ( x \right ) =-{\frac {\sqrt {2}}{2\,x+2\,{\it \_C1}}\sqrt { \left ( x+{\it \_C1} \right ) \left ( 2\,{\it \_C1}\,{x}^{2}+2\,{x}^{3}-1 \right ) }} \right \} \]