If \(\frac{d y}{d x}-y \log _e 2=2^{\sin x}(\cos x-1) \log _e 2\), then \(y\) is:

\(2^{\sin x}+\mathrm{c} 2^x\)

\(2^{\cos x}+\mathrm{c} 2^x\)

\(2^{\sin x}+\mathrm{c} 2^{-x}\)

\(2^{\cos x}+\mathrm{c} 2^{-x}\)