Find the differential equations corresponding to `v=(A)/(r )+B`.

Explanation

To find the differential equation corresponding to the equation \( v = \frac{A}{r} + B \), we will follow these steps:

### Step 1: Differentiate with respect to \( r \)

Start by differentiating the given equation \( v = \frac{A}{r} + B \) with respect to \( r \).

\[
\frac{dv}{dr} = \frac{d}{dr}\left(\frac{A}{r}\right) + \frac{d}{dr}(B)
...