\[ \boxed { 2\,{x}^{3}+y \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +3\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+7=0} \]
Mathematica: cpu = 0.036505 (sec), leaf count = 121 \[ \left \{\left \{y(x)\to -\sqrt {c_1 e^{-2 x^3}+\frac {20\ 2^{2/3} e^{-2 x^3} x \Gamma \left (\frac {1}{3},-2 x^3\right )}{9 \sqrt [3]{-x^3}}-\frac {2 x}{3}}\right \},\left \{y(x)\to \sqrt {c_1 e^{-2 x^3}+\frac {20\ 2^{2/3} e^{-2 x^3} x \Gamma \left (\frac {1}{3},-2 x^3\right )}{9 \sqrt [3]{-x^3}}-\frac {2 x}{3}}\right \}\right \} \]
Maple: cpu = 0.109 (sec), leaf count = 207 \[ \left \{ y \left ( x \right ) =-{\frac {{2}^{{\frac {2}{3}}}}{18\, \Gamma \left ( 2/3 \right ) }\sqrt {-3\,\sqrt [3]{2}\Gamma \left ( 2/3 \right ) \sqrt [3]{-{x}^{3}} \left ( -27\,{{\rm e}^{-2\,{x}^{3}}}{\it \_C1}\,\Gamma \left ( 2/3 \right ) \sqrt [3]{2}\sqrt [3]{-{x}^{3}}+80\, {{\rm e}^{-2\,{x}^{3}}}x\pi \,\sqrt {3}-120\,{{\rm e}^{-2\,{x}^{3}}}x \Gamma \left ( 1/3,-2\,{x}^{3} \right ) \Gamma \left ( 2/3 \right ) +18 \,x\Gamma \left ( 2/3 \right ) \sqrt [3]{2}\sqrt [3]{-{x}^{3}} \right ) }{\frac {1}{\sqrt [3]{-{x}^{3}}}}},y \left ( x \right ) ={\frac {{2}^{{ \frac {2}{3}}}}{18\,\Gamma \left ( 2/3 \right ) }\sqrt {-3\,\sqrt [3]{2 }\Gamma \left ( 2/3 \right ) \sqrt [3]{-{x}^{3}} \left ( -27\,{{\rm e}^{ -2\,{x}^{3}}}{\it \_C1}\,\Gamma \left ( 2/3 \right ) \sqrt [3]{2}\sqrt [3]{-{x}^{3}}+80\,{{\rm e}^{-2\,{x}^{3}}}x\pi \,\sqrt {3}-120\,{ {\rm e}^{-2\,{x}^{3}}}x\Gamma \left ( 1/3,-2\,{x}^{3} \right ) \Gamma \left ( 2/3 \right ) +18\,x\Gamma \left ( 2/3 \right ) \sqrt [3]{2} \sqrt [3]{-{x}^{3}} \right ) }{\frac {1}{\sqrt [3]{-{x}^{3}}}}} \right \} \]