Chapter 6.3, Problem 35E

(a)

To determine

To Calculate: The differential equation of the statement, “The rate of change of $y$ with respect to $x$ is proportional to the difference between $y$ and 4”.

(b)

To determine

The correct match of the differential equation $\frac{dy}{dx}=k\left(y-4\right)$.

(c)

To determine

To prove: The result by using graphing utility to graph a slope field for the differential equation $\frac{dy}{dx}=k\left(y-4\right)$ .