\[ y'(x)=\frac {3}{16} x^4 y(x)+\frac {3}{4} x^3 y(x)-\frac {3}{4} x^2 y(x)^2+\frac {1}{4} x^2 y(x)-\frac {x^6}{64}-\frac {3 x^5}{32}-\frac {x^4}{8}+\frac {x^3}{8}+\frac {x^2}{4}-\frac {3}{2} x y(x)^2-x y(x)+y(x)^3+y(x)^2+\frac {x}{2}+1 \] ✓ Mathematica : cpu = 0.27988 (sec), leaf count = 102
\[\text {Solve}\left [-\frac {31}{3} \text {RootSum}\left [-31 \text {$\#$1}^3+3\ 2^{2/3} \sqrt [3]{31} \text {$\#$1}-31\& ,\frac {\log \left (\sqrt [3]{\frac {2}{31}} \left (\frac {1}{4} \left (-3 x^2-6 x+4\right )+3 y(x)\right )-\text {$\#$1}\right )}{2^{2/3} \sqrt [3]{31}-31 \text {$\#$1}^2}\& \right ]=\frac {1}{9} \left (\frac {31}{2}\right )^{2/3} x+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.243 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}}{4}}+{\frac {x}{2}}+{\it RootOf} \left ( -x+2\,\int ^{{\it \_Z}}\! \left ( 2\,{{\it \_a}}^{3}+2\,{{\it \_a}}^{2}+1 \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) \right \} \]