\[ A x \left (a \sin ^2(x)+c\right )+y'(x) \left (a \sin ^2(x)+b\right )+a y(x) \sin (2 x)=0 \] ✓ Mathematica : cpu = 0.143451 (sec), leaf count = 77
\[\left \{\left \{y(x)\to \frac {\frac {1}{2} a A x^2-\frac {1}{2} a A x \sin (2 x)-\frac {1}{4} a A \cos (2 x)+A c x^2}{a \cos (2 x)-a-2 b}+\frac {c_1}{a \cos (2 x)-a-2 b}\right \}\right \}\] ✓ Maple : cpu = 0.096 (sec), leaf count = 53
\[\left \{y \left (x \right ) = \frac {-2 A a x \sin \left (2 x \right )-A a \cos \left (2 x \right )+2 \left (a +2 c \right ) A \,x^{2}-8 c_{1}}{4 a \cos \left (2 x \right )-4 a -8 b}\right \}\]