The degree of the differential equation
$x=1+\frac{d y}{d x}+\frac{1}{2 !}\left(\frac{d y}{d x}\right)^2+\frac{1}{3 !}\left(\frac{d y}{d x}\right)^3+...$, is
Answer & explanation
Correct answer: option 2
We have,
$x=e^{\frac{d y}{d x}} \Rightarrow \log x=\frac{d y}{d x}$
Clearly, it is differential equation of degree one.