Mathematics, 19.06.2020 08:57 nhester3378
A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a. Write the differential equation satisfied by y in terms of proportionality k.
b. Find k (in units of day−1, assuming that 10% of the population knows the rumor at time t=0 and 40% knows it at time t=2 days.
c. Using the assumptions in part (b), determine when 75% of the population will know the rumor.
d. Plot the direction field for the differential equation and draw the curve that fits the solution y(0)=0.1 and y(0)=0.5.
Answers: 2
Mathematics, 21.06.2019 23:00, xxYingxYangxx7670
What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3
Answers: 1
A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the...
Health, 18.12.2019 18:31
History, 18.12.2019 18:31
Biology, 18.12.2019 18:31
Mathematics, 18.12.2019 18:31
Mathematics, 18.12.2019 18:31