Which of the differential equations is linear1\(\left(\frac{dy}{dx}\right)^{2}+y=x^{2}+1\)2\(\left(\frac{dy}{dx}\right)+y^{2}=\sin x\)3\(x\left(\frac{dy}{dx}\right)+y=e^{x}\)4\(\frac{dx}{dy}+y^{2}x=y^{-3}\)Answer & explanation+Correct answer: option 4By definition of linearity, option (d) is correct.