Differential Equations

$(\sin 2 x) y=\sin ^2 x+C$

$\left(1+\sin ^2 x\right) y=\sin x-\frac{\sin ^3 x}{3}+C$

$\left(1+\sin ^2 x\right) y=\sin x+\frac{\sin ^3 x}{3}+C$

$(\sin 2 x) y=\sin x+\sin ^2 x+C$