\[ A x \left (a \sin ^2(x)+c\right )+y'(x) \left (a \sin ^2(x)+b\right )+a y(x) \sin (2 x)=0 \] ✓ Mathematica : cpu = 0.048288 (sec), leaf count = 59
\[\left \{\left \{y(x)\to \frac {2 a A x^2-2 a A x \sin (2 x)-a A \cos (2 x)+4 A c x^2+4 c_1}{4 a \cos (2 x)-4 (a+2 b)}\right \}\right \}\]
✓ Maple : cpu = 0.062 (sec), leaf count = 53
\[ \left \{ y \left ( x \right ) ={\frac {-A\cos \left ( 2\,x \right ) a-2\,A\sin \left ( 2\,x \right ) ax+2\,{x}^{2} \left ( a+2\,c \right ) A-8\,{\it \_C1}}{4\,a\cos \left ( 2\,x \right ) -4\,a-8\,b}} \right \} \]