\[ \left (x^2+y(x)^2\right ) y'(x)+2 x (y(x)+2 x)=0 \] ✓ Mathematica : cpu = 0.300769 (sec), leaf count = 370
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{-4 x^3+\sqrt {20 x^6-8 e^{3 c_1} x^3+e^{6 c_1}}+e^{3 c_1}}}{\sqrt [3]{2}}-\frac {\sqrt [3]{2} x^2}{\sqrt [3]{-4 x^3+\sqrt {20 x^6-8 e^{3 c_1} x^3+e^{6 c_1}}+e^{3 c_1}}}\right \},\left \{y(x)\to \frac {\left (1+i \sqrt {3}\right ) x^2}{2^{2/3} \sqrt [3]{-4 x^3+\sqrt {20 x^6-8 e^{3 c_1} x^3+e^{6 c_1}}+e^{3 c_1}}}-\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{-4 x^3+\sqrt {20 x^6-8 e^{3 c_1} x^3+e^{6 c_1}}+e^{3 c_1}}}{2 \sqrt [3]{2}}\right \},\left \{y(x)\to \frac {\left (1-i \sqrt {3}\right ) x^2}{2^{2/3} \sqrt [3]{-4 x^3+\sqrt {20 x^6-8 e^{3 c_1} x^3+e^{6 c_1}}+e^{3 c_1}}}-\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{-4 x^3+\sqrt {20 x^6-8 e^{3 c_1} x^3+e^{6 c_1}}+e^{3 c_1}}}{2 \sqrt [3]{2}}\right \}\right \}\] ✓ Maple : cpu = 0.191 (sec), leaf count = 352
\[\left \{y \left (x \right ) = \frac {-\frac {2 c_{1} x^{2}}{\left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {1}{3}}}+\frac {\left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {1}{3}}}{2}}{\sqrt {c_{1}}}, y \left (x \right ) = -\frac {-4 c_{1} x^{2}+\left (4 i c_{1} x^{2}+i \left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {2}{3}}\right ) \sqrt {3}+\left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {2}{3}}}{4 \left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {1}{3}} \sqrt {c_{1}}}, y \left (x \right ) = \frac {4 i c_{1} \sqrt {3}\, x^{2}+4 c_{1} x^{2}+i \sqrt {3}\, \left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {2}{3}}-\left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {2}{3}}}{4 \left (-16 c_{1}^{\frac {3}{2}} x^{3}+4+4 \sqrt {20 c_{1}^{3} x^{6}-8 c_{1}^{\frac {3}{2}} x^{3}+1}\right )^{\frac {1}{3}} \sqrt {c_{1}}}\right \}\]