Determine the order and the degree of the equation $y''' + y^2+e^{y'} = 0$.

Order = 3, Degree = Not defined

The correct answer is Option (2) → Order = 3, Degree = Not defined

The highest order derivative present in the given differential equation is $y'''$, so its order is 3. Here the term $e^{y'}$ is not a polynomial in $y'$, so the degree of the given differential equation is not defined.

Thus, the order of the given differential equation is 3 and its degree is not defined.