Find the order and degree, if defined, of the following differential equation: $\frac{dy}{dx} - \cos x = 0$
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Order 1, Degree 1 ##
The highest order derivative present in the differential equation is $\frac{dy}{dx}$, so its order is one. It is a polynomial equation in $y'$ and the highest power raised to $\frac{dy}{dx}$ is one, so its degree is one.