Determine whether the given differential equation $is$ separable.

$\frac{dy}{dx}+2sin(x+y)=0$

$Is$ the differential equation separable?

$A.$ Yes; because $\frac{dy}{dx}=g(x)p(y)$ where $g(x)=-2sin(x)$ and $p(y)=2sin(y).$

$B.$ Yes; because $\frac{dy}{dx}=g(x)p(y)$ where $g(x)=-2$ and $p(y)=sin(x+y).$

$C.$ Yes; because $\frac{dy}{dx}=g(x)p(y)$ where $g(x)=-2sin(x+y)$ and $p(y)=1.$

$D.No$