\[ y'(x)=\frac {x^3 \sin (x)+x^2 y(x)^2+2 x^2 y(x) \cos (x)+\frac {x^2}{2}+x^2 \cos (x)+\frac {1}{2} x^2 \cos (2 x)+2 x y(x)-2 x y(x) \sin (x)+x-x \sin (x)-x \sin (2 x)-2 \sin (x)+2 x \cos (x)-\frac {1}{2} \cos (2 x)+\frac {3}{2}}{x^3} \] ✓ Mathematica : cpu = 0.107425 (sec), leaf count = 30
\[\left \{\left \{y(x)\to \frac {1}{c_1-\log (x)}-\frac {-\sin (x)+x \cos (x)+1}{x}\right \}\right \}\] ✓ Maple : cpu = 0.295 (sec), leaf count = 44
\[ \left \{ y \left ( x \right ) ={\frac { \left ( \cos \left ( x \right ) x-\sin \left ( x \right ) +1 \right ) \ln \left ( x \right ) -\cos \left ( x \right ) {\it \_C1}\,x+\sin \left ( x \right ) {\it \_C1}+x-{\it \_C1}}{x \left ( {\it \_C1}-\ln \left ( x \right ) \right ) }} \right \} \]