3.200   ODE No. 200

$$\boxed{{\displaystyle (a{(\sin \left(x\right))}^2+b)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+ay\left(x\right)\sin \left(2x\right)+Ax(a{(\sin \left(x\right))}^2+c)=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.050506 (sec), leaf count = 77 $$\left\{\{y(x)\to \frac{\frac{1}{2}aA{x}^2-\frac{1}{2}aAx\sin (2x)-\frac{1}{4}aA\cos (2x)+Ac{x}^2}{a\cos (2x)-a-2b}+\frac{c_1}{a\cos (2x)-a-2b}\}\right\}$$

Maple: cpu = 0.032 (sec), leaf count = 56 $$\{y\left(x\right)=\frac{-2A\sin \left(2x\right)ax+2Aa{x}^2+4Ac{x}^2-A\cos \left(2x\right)a-8\mathit{\_}\mathit{C}\mathit{1}}{4a\cos \left(2x\right)-4a-8b}\}$$