Which of the differential equations is linear

\(\left(\frac{dy}{dx}\right)^{2}+y=x^{2}+1\) \(\left(\frac{dy}{dx}\right)+y^{2}=\sin x\) \(x\left(\frac{dy}{dx}\right)+y=e^{x}\) \(\frac{dx}{dy}+y^{2}x=y^{-3}\)

\(\frac{dx}{dy}+y^{2}x=y^{-3}\)

By definition of linearity, option (d) is correct.