MATH 251
Final Exam
May 7, 2004
Name:
Student Number:
Instructor:
Section:
This exam has 12 questions for a total of 150 points.
In order to obtain full credit for partial credit problems, all work must be shown.
Credit will
not be given for an answer not supported by work.
THE USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINATION.
The last page of this examination contains a table of Laplace transforms for your use.
Do not write in this box.
1:
2:
3:
4:
5:
6:
7:
8:
9:
10:
11:
12:
Total:
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
MATH 251 Spring 2004 Final Exam
1. (12 points) Circle the correct answer to each of the following statements:
(a) (2 points) True or False: The autonomous equation
y
0
=
y
3
+
y
has exactly one real equi
librium solution.
(b) (2 points) True or False:
For nonzero constants
a
,
b
, and
c
, the initial value problem
ay
00
+
by
0
+
cy
= 0
, y
(0) = 1
, y
0
(0) = 1, always has a unique solution.
(c) (2 points) True or False: For nonzero constants
a
,
b
, and
c
, the boundary value problem
ay
00
+
by
0
+
cy
= 0
, y
(0) = 1
, y
(5) = 1, always has a unique solution.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations, Laplace, Boundary value problem

Click to edit the document details