\[ y'(x)=\frac {3}{16} x^4 y(x)-\frac {3}{2} x^3 y(x)+\frac {3}{4} x^2 y(x)^2+\frac {7}{2} x^2 y(x)+\frac {x^6}{64}-\frac {3 x^5}{16}+\frac {13 x^4}{16}-\frac {3 x^3}{2}+x^2-3 x y(x)^2-2 x y(x)+y(x)^3+y(x)^2-\frac {x}{2}+1 \] ✓ Mathematica : cpu = 30.1041 (sec), leaf count = 248
\[\text {Solve}\left [\frac {\sqrt [3]{2} \left (\frac {\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)}{\sqrt [3]{2}}+2^{2/3}\right ) \left (2^{2/3}-2^{2/3} \left (\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)\right )\right ) \left (\left (\frac {1}{4} \left (-3 x^2+12 x-4\right )-3 y(x)+1\right ) \log \left (2^{2/3}-2^{2/3} \left (\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)\right )\right )+\left (\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)-1\right ) \log \left (2 \left (\frac {\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)}{\sqrt [3]{2}}+2^{2/3}\right )\right )-3\right )}{9 \left (-\left (\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)\right )^3+3 \left (\frac {1}{4} \left (3 x^2-12 x+4\right )+3 y(x)\right )-2\right )}=\frac {1}{9} 2^{2/3} x+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.922 (sec), leaf count = 55
\[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{\it RootOf} \left ( \ln \left ( {{\rm e}^{{\it \_Z}}}-4 \right ) {{\rm e}^{{\it \_Z}}}+{{\rm e}^{{\it \_Z}}}{\it \_C1}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+x{{\rm e}^{{\it \_Z}}}-4\,\ln \left ( {{\rm e}^{{\it \_Z}}}-4 \right ) -4\,{\it \_C1}+4\,{\it \_Z}-4\,x+4 \right ) }}}{4}}-1-{\frac {{x}^{2}}{4}}+x \right \} \]