Determine the order and the degree of the equation $y''' + y^2+e^{y'} = 0$.
Answer & explanation
Correct answer: option 2
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.