The function $y=sin(x)+cos(x)$ is a solution to which differential equation?

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

II$.y+\frac{dy}{dx}=2cos(x)$

III. $\frac{dy}{dx}-y=-2sin(x)$

I only

II only

III only

I'and III

II and III