is
gag? cfw_a Math 431 Test 1 (Spring 2011)
Name (Print):
(Please also put your name on the back in the upper left corner)
1. (15 points) Find the general solution of y -:y(3zzc2 + 2)
82: 6(5X +Z)o(9><
aw: X3+2x 1 L
2. (15 points) Is the equation (23; e3
keg +0 Math 431 Test 2 (Summer 2012)
Name( (Print):
(Please also put your name on the back in the supper left corner)
1. (10 points) Find a general solution of the Euler-Cauchy equation cozy 6533/, + 12y = 0.
M27M'HZ =0
(M a) (4-19: 0
MCC1X3+axll
2. ( 15
' H3 3) we
1
w,
j:
l
(<cfw_3 fo Math 431 Test 3 (Summer 2012)
Name (Print): (Please also put your name on the back)
1. (20 points) Find a general solution of the system
1/1: 43/1 2312,
1/2 = 3311 y2.
Mletr We?
H -z .
E 'h), = 0 F" 11),:2/
33% (mm)
i (if
6. (15 points) Find a general solution of
14(4) + 10y + 9y =~ 0.
WW0 >5? ?: 0
Ghoulr ?) i 7
2 2 ii, A 2 i g;
7. (15 points) Find a general solution of
21(4) + 2y! + 1y = 0.
)z +21: 0 I
Q, ' w
)(4:/LL: 0/ AZ/lttl( k
3 1 max Jr (m bade"?
Math 431 Test 1 (Fall 2008)
- > - h J37 g
Name (Punt): 0 on _J r" 2 75 , f . A
T j 346K! (J Wad, .
(Please also put your name on the back in the upper left corner) ' W l 9 f
1. (10 points) Find the general solution of y = y2 sin 2m. w:2 ,1 a
dzL g "3
hij-
(W
Math 431 Test 2 (Summer 2009)
Name (Print): jzagz Gaff/(06 cfw_/ (Please also put your name on
the back in the supper left corner)
1. (10 points) Find a. general solution of (D2 + 2D + 5I)y = 0, Where Dy 2 :9], D23; 2 y",
43:,
Wan-7.2. W
(7*26(70
>\2 +
K 9 Math 431 Test 2 (Spring 2011)
. cfw_0
l \ Name (Print :
(Please also put your name on the back in the supper left corner)
1. (15 points) Find a. general solution of y - 6y, + 9y = m2 - 2.
ll! 6%: 0 AP = an
t eq :, 0 H12 - Max ak? (KLX1+KIX+KO) = xlzz
Kg? if") Math 431 Test 2 (Fall 2008)
Name (Print): (Please also put your name on
the back in the supper left corner) '
1. (10 points) Find a general solution of (I)2 4D + 51 )y 2 0, where Dy = y, , 13% = y",
and I y = y.
iamfyief'gy : '0
; Yiqf2/D +l
(ZEC
Math 431 Test 3 (Summer 2009)
Name (Print): A K015; Selig/6 1/ (Please also put your name on the back)
1. (10 points) Find a general solution of the system
<4 1 / l 2 in E w ,
($33? )ljil 5 3J1=yl+2y2,
J 912 =2y1+y2.
eageumccw cue, 3w :
g _V
9; ,1 A
Kg? Co Math 431 Test 1 (Summer 2012)
Name (Print):
(Please also put your name on the back in the upper left corner)
1. (15 points) Find a general solution of y, = eyxg.
$61097) :Syzofx
3
lliil
2 (15 points) Is the equation 21; sin ydm+ (3:2 cosy+ 1)dy = 0