\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/2\, \left ( y \left ( x \right ) {{\rm e}^{-1/4\,{x}^{2}}}x+2+2\, \left ( y \left ( x \right ) \right ) ^{2}{{\rm e}^{-1/2\,{x}^{2}}}+2\, \left ( y \left ( x \right ) \right ) ^{3}{{\rm e}^{-3/4\,{x}^{2}}} \right ) {{\rm e}^{1/4\,{x}^{2}}}=0} \]
Mathematica: cpu = 0.101013 (sec), leaf count = 126 \[ \text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {3 e^{-\frac {x^2}{2}} y(x)+e^{-\frac {x^2}{4}}}{\sqrt [3]{29} \sqrt [3]{e^{-\frac {3 x^2}{4}}}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=c_1+\frac {1}{9} 29^{2/3} e^{\frac {x^2}{2}} \left (e^{-\frac {3 x^2}{4}}\right )^{2/3} x,y(x)\right ] \]
Maple: cpu = 0.047 (sec), leaf count = 63 \[ \left \{ y \left ( x \right ) =-{\frac {1}{9} \left ( 3\,{{\rm e}^{-1/4\, {x}^{2}}}{{\rm e}^{1/4\,{x}^{2}}}-29\,{\it RootOf} \left ( -81\,\int ^{ {\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1 }{d{\it \_a}}+x+3\,{\it \_C1} \right ) \right ) \left ( {{\rm e}^{{ \frac {{x}^{2}}{4}}}} \right ) ^{-1} \left ( {{\rm e}^{-{\frac {{x}^{2} }{2}}}} \right ) ^{-1}} \right \} \]