Chapter 11.3, Problem 38E

Spread of Rumors A rumor spreads through a community of 500 people at the rate

$\frac{dN}{dt}=0.02\left(500-N\right)N^{\frac{1}{2}}$

where N is the number of people who have heard the rumor at time t (in hours). Use Euler’s method with $h=0.5$ to find the number who has heard the rumor after 3 hours, if only 2 people heard it initially.