what can be degree of differential equation $\displaystyle e^{\frac{dy}{dx}}=2$

my working

if I expand $\displaystyle e^t$where $\displaystyle t={\frac{dy}{dx}}$ then degree seems to be not defined as $\displaystyle t$goes up to infinity but if i take ln(natural log)on both sides then degree seems to be 1

as we get $\displaystyle {\frac{dy}{dx}}=ln2$ where is the problem ? is modification changed the equation in other form[/quote]