\[ y'(x)=\frac {x^3 \sin (x)+x^2 y(x)^2+2 x^2 y(x) \cos (x)+\frac {x^2}{2}+x^2 \cos (x)+\frac {1}{2} x^2 \cos (2 x)+2 x y(x)-2 x y(x) \sin (x)+x-x \sin (x)-x \sin (2 x)-2 \sin (x)+2 x \cos (x)-\frac {1}{2} \cos (2 x)+\frac {3}{2}}{x^3} \] ✓ Mathematica : cpu = 0.37182 (sec), leaf count = 30
\[\left \{\left \{y(x)\to -\frac {-\sin (x)+x \cos (x)+1}{x}+\frac {1}{-\log (x)+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.313 (sec), leaf count = 44
\[y \relax (x ) = \frac {\left (\cos \relax (x ) x -\sin \relax (x )+1\right ) \ln \relax (x )-\cos \relax (x ) c_{1} x +\sin \relax (x ) c_{1}+x -c_{1}}{x \left (c_{1}-\ln \relax (x )\right )}\]