MATH 3740
Quiz 3
Name
9/27/2012
1. The time rate of change of a rabbit population P is proportional to the square
root of P . At timt t = 0 (months) the population numbers 900 rabbits and is
incrreasing at the rate of 30 rabbits per month. How many rabbits will there
be one year later?
2. Consider the autonomous first-order differential equation
dx
dt
=x−8
(a) Find the critical points, equlibrium solutions and classify them as stable
or unstable.
(b) Solve the differential equation explicitly for x(t) in terms of t
(c) Sketch typical solution curves for the given differential equation.