This preview shows pages 1–2. Sign up to view the full content.
MATH 310
Summer 2011
Diﬀerential Equations
Homework Exercises, Set 5
Quiz
on Wednesday, 19 October 2011
Course Information is on
WebCT
Textbook references are to:
Boyce and DiPrima
“
Elementary Diﬀerential Equations and Boundary Value Problems
” (9th edition).
Reading
:
•
Sections 2.4, 2.5, 2.6
Problems to prepare for quiz (no need to hand in):
•
Section 2.4, #
6, 12, 15, 21, 22
Existence and uniqueness, interval of existence
•
Section 2.5, #
3, 7, 10, 12, 13
Critical points and stability, qualitative behaviour
In each case, also determine
lim
t
→∞
y
(
t
)
if
y
(0) = 1
.
5
, without
solving
the diﬀerential equation
•
Section 2.5, #
18
Recall: the volume of a cone of base radius
a
, height
h
is
1
3
πa
2
h
.
•
Section 2.5, #
20, 23
Applications to ﬁsheries management and epidemiology
•
Section 2.5, #
26
An introduction to dynamical systems and bifurcation;
you should ﬁrst read the preceding text beginning at “
Bifurcation Points
”
and read (or try) #25
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/30/2012 for the course MATH 310 303 taught by Professor Rwk during the Spring '11 term at Simon Fraser.
 Spring '11
 RWK
 Math, Differential Equations, Equations

Click to edit the document details