This preview shows pages 1–4. Sign up to view the full content.
Hi Everyone! Here’s the Fall 2008 midterm for you to try. TRY IT!!! i.e. put
away all your notes and textbooks, and give yourself 75 minutes.
We’ll post
solutions in a few days, but try it before you look at them!!!
1. (4 marks each; total 12 marks)
Answer each question in the space provided.
You
MUST show all of your work.
a)
Consider the following linear firstorder differential equation:
3
sin
3
x
y
y
x
.
What is the appropriate integrating factor to help solve this
equation?
(Just find the integrating factor, but do NOT
actually solve the
equation).
b)
Find all values of
m
so that
m
x
is a solution of the differential equation
0
2
2
2
y
y
x
y
x
c)
Find the general solution of the differential equation
0
)
16
)(
9
)(
1
(
2
2
2
y
D
D
D
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document MATH2860U Midterm
October, 2008
2
2. (7 marks)
Find the general solution of the differential equation
0
1
2
)
4
(
4
2
3
dx
dy
y
y
x
e
y
x
x
MATH2860U Midterm
October, 2008
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 11/10/2010 for the course DEFFERENTI 2080 taught by Professor Kidnan during the Spring '10 term at UOIT.
 Spring '10
 Kidnan

Click to edit the document details