What is the degree of $\frac{dy}{dx} + e^{\frac{dy}{dx}} = x$?

Explanation

1. 01

   The degree is defined only when the equation is a polynomial in its derivatives.

2. 02

   $e^{\frac{dy}{dx}}$ is not a polynomial in $\frac{dy}{dx}$, so the degree is not defined (the order is 1).