Find the order and degree, if defined, of the following differential equation: $\frac{dy}{dx} - \cos x = 0$ |
Order 1, Degree 1 Order 1, Degree not defined Order 2, Degree 1 Order 1, Degree 2 |
Order 1, Degree 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. |