Verifying Solutions for Differential Equations Practice Test

Yes, because $y'=-\sin x$ and the right side is $-\sin x$.

No, because $y'=-\cos x$ but the right side is $-\sin x$.

No, because $y'=-\sin^2 x$ but the right side is $-\sin x$.

Yes, because $y'=\cos x$ equals $-\sin x$.

No, because $y'=\sin x$ but the right side is $-\sin x$.