Question

Consider the differential equation,

$\frac{dy}{dx}+\sin y=\cos x$.

Find the order of the differential equation.

Answer 1

Given the differential equation,

$\frac{dy}{dx}+\sin y=\cos x$.

Due to the presence of the highest order derivative term $\frac{dy}{dx}$ which is of first order.

So the given differential equation is of order $1$.