Chapter 10.1, Problem 15E

(a)

To determine

If the balance in the savings account is increasing or decreasing and also the rate at which it is increasing or decreasing where $f\left(t\right)$ is the balance in a savings account at the end of $t$ years and $y=f\left(t\right)$ satisfies the differential equation $y\text{'}=0.05y-10,000$.

(b)

To determine

The differential equation in the form $y\text{'}=k\left(y-M\right)$ where $f\left(t\right)$ is the

balance in a savings account after $t$ years, and it satisfies the differential equation $y\text{'}=0.05y-10,000$.

(c)

To determine

The description of the differential equation $y\text{'}=0.05\left(y-200,000\right)$ where $f\left(t\right)$ is thebalance in a savings account after $t$ years, and it satisfies $y\text{'}=0.05y-10,000$.