 
Summary: Mathematics 3C Summer 3B 2009
Worksheet 6, August 25th, TA Grace Kennedy
NAME:
PREP for 8/27: Read text Sections 2.6, 3.1, prepare for exam, finish worksheet
MY WEBSITE: http://math.ucsb.edu/kgracekennedy/SB093C.html
1. What is a system of differential equations?
2. What does a solution to a system of differential equations look like?
3. What does an equilibrium solution to a set of differential equations look
like?
4. Given a potential solution to a system of differential equations, how do
you test to see if what you are given is indeed a solution?
5. Consider the system of differential equations
dx
dt
= 2  x  y,
dy
dt
= y.
(a) Find the constant solution(s) for the system.
(b) Find the horizontal and vertical nullclines for this system, and make a
