Which function is a solution to the differential equation $\frac{dy}{dx}=ysinx?$

$(1$ point$)$

$y=sinxcosx$

$y=\frac{1}{2}si{n}^{2}x$

$y=-\frac{1}{2}co{s}^{2}x$

$y=e^{-sinx}$

$y=e^{-cosx}$