OBJECTIVES

	Learn about equilibrium points for ordinary differential equations.
	Study a population model.

EXERCISES

Problems from Polking an Arnold's Book

1. Problem 14 --16 on p. 26. You need only turn in parts i), ii), iv), and v) for these problems. 
   (The equations studied in these problems are: 14)  x'=x(x-2), 15) x'=x(x-2)^2, and 16)  x'=x(x-2)^3.)
   
       The commands 
   
                       EDU» syms x
                       EDU» ezplot(x*(x-2),[-1,3])
                       EDU» grid on
   
       will give you a plot of x(x-2) on the interval [-1,3].
   
   
2. Do parts a) and b) of problem  21 on p. 27.