MATH 361
Homework #3
Winter Quarter 2014
Due: February 5, 2014 (by 5pm)
Total Possible Points: 60
1. [Warm-up for Question #2]. Consider the rst-order dierential equation
y = y(y a)
(1)
where a is some arbitrary constant parameter. Let f (y; a) represent
MATH 361
Exam #1 Topics
Winter Quarter 2014
Exam Date: Friday 2/7/2014
F IRST O RDER S CALAR ODE S (T HEORY )
1. Given a dierential equation of the form y = f (y), know how to describe the qualitative behavior of
solutions without solving. (see HW #1 prob
M ATH 361 - L ECTURE N OTES
P REDATOR -P REY M ODELS
(Covering Chapter 9 from K.K. Tungs book)
Now that we have summarized how to determine the stability of an equilibria for 2D autonomous systems,
lets return to the motivating example regarding sh and sh
MATH 361
Homework #4 (Part 1)
Winter Quarter 2014
Due: February 24, 2014 (by 5pm)
Total Possible Points: 135
1. (10 points) (Kahlil Chapter 2) Consider the system given by
x
= x x2 y 2 y
y
= y x2 y 2 + x
(a) Show that (0, 0) is the only equilibrium point