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Math 250
Fall 2007
Exam 2
NAME:
ID No:
SECTION:
This exarn contains 10 questions on 10 pages(including this title page).
This exam is worth a total of 100 points. The exam is broken
into two parts.
There are six multiple choice questions, each worth 5 points, and 4 partial
credit problems. To receive full credit for a partial credit problern all work
must tre shown. When in rloubt. fiil in the details.
No notes, books or calculators may be used during the exam.
Please, Box Your Final Answer (wiren possible).
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Multiple
Choice Section
l. (5 points)
Suppose
the Wronskian of two functions
/
and g is
VV
(f
'
g)
:
sin(r).
Which of the follwing statements
is FALSE?
(")
/
and g are li'early inclependent
on any open interval.
Tc..e
(b)
/
and g are linearly independcnt on the interval (;,f)
[C.^e,
"
rcr/
and g can be solutionsto a second order linear hopggengous
clif
fcrential equarion on_r
he interva] (;,
i)
tr",L>e .
\+
t&
ule.r.c
/.r\
r"Y,I\il
=p.e\i.*t"*
t.\i*,''r",,* or
S*,
o
(d)
/
attcl
I
c'an'br'soltttiotrs
to a second order lincar homogeneous
dif
ferential equation on the interval (0, zr).
\ t.re
2. (5 potnts) which of the followirrg is a suitable form for ag[gg!a1
solution
g(t) to the differentizrl
equaricin
g"
+
6:,J'
l9'u
:2te.3t
*
4e:':tt
cos(t)
l5c:
:tt
sin(f) ?
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 Fall '07
 GYRYA,VITALIY
 Math, Differential Equations, Equations, Trigraph, partial credit, nonhomogeneous diffcrcntial equatiorr

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