Chapter 11, Problem 13TYS

(a)

To determine

To calculate: The solution of the differential equation when the rate of a large population of infected by a disease is $\frac{dy}{dt}=\frac{1-y}{4}$ where y is the percent of the population exposed to the disease and t is the time in year and $y=0$ when $t=0$.

(b)

To determine

To calculate: The time takes by the spreading disease to infect half of the population when the rate of a large population of infected by a disease is $\frac{dy}{dt}=\frac{1-y}{4}$ where y is the percent of the population exposed to the disease and t is the time in year and $y=0$ when $t=0$.

(c)

To determine

To calculate: The percentage of the population that will infected by the disease after 4 years when the rate of a large population of infected by a disease is $\frac{dy}{dt}=\frac{1-y}{4}$ where y is the percent of the population exposed to the disease and t is the time in year and $y=0$ when $t=0$.