Find the equation of a curve passing through the point $(0,0)$ and whose differential equation is $y'=e^x\;\sin x.$

Question

$\begin{array}{1 1} 2y - 1 = e^{\large x(\sin x - \cos x)} \\ 2y + 1 = e^{\large x(\sin x - \cos x)} \\ 2y - 1 = e^{\large x(\sin x + \cos x)} \\2y - 1 = e^{\large x(\cos x - \sin x)} \end{array}$