Easy# Separation of Variables: Family of Solutions

APCALC-79D$F9

Which of the following could be a solution to the differential equation $\cfrac{dy}{dx} = \cfrac {\cos {x}}{y}$?

I.$y=-\sqrt{2\sin{x}}$

II.$y=-\sqrt{2\sin{x} +\pi}$

III.$y=\pi -\sqrt{2\sin{x}}$