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MATH 251
Summer 2003
Final Exam
Take home
NAME :
ID :
INSTRUCTOR :
This exam is due at the
beginning
of class on Thursday the
7
th
of August, 2003. Class
attendance on that day is compulsory. When you hand in this exam, please read the state
ment below and sign this page, returning it with your exam to your instructor. Failure to
do this will result in a deduction of your ±nal exam score.
This is a takehome ±nal exam. You may use your notes and any book(s). However,
you may not receive any from any other person, except perhaps from myself (a clari±ca
tion of a problem). By signing this you signify that you have read the above and have not
breached the above conditions for this exam, if you feel you cannot ful±l these require
ments please see me.
Your signature:
P
LEASE DO NOT WRITE IN THE BOX BELOW
.
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View Full Document MATH 251 Summer 2003  Final Exam
1. (15 points)
(a) Give an example of a ±rst order autonomous differential equation that has ex
actly
3
equilibrium solutions.
(b) Find a second order linear equation whose general solution is
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This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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