1 9. A fundamental set of solutions of x' = | -3 -1 3 x is: 3 2 -2 2 (a) x1 = e-2#| -3 , x2 = e-t X3 = e'| 0 2 (b) x1 = e" -3 X2 = e=| 1 X3 = e'| 2 3 2 () (c) x1 = et 3 3, x2 = e-t X3 = e (d) x1 = e- -3 , x2 = e=t X3 = e' 3 (e) None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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9. A fundamental set of solutions of x'
-3
-1
3
x is:
3
2 -2
(a) x1 = e-2t
-3
X2 = e-t
3
X3 = et
2
(b) xị = e2t
-3
X2 = e=t
1
X3 = e' | 2
3
1
2
(c) x1 = et
3 3, x2 = e-t
X3 = et
(d) x1 = e-2t
-3
X2 = et
X3 = e
3
(e) None of the above.
Transcribed Image Text:1 2 9. A fundamental set of solutions of x' -3 -1 3 x is: 3 2 -2 (a) x1 = e-2t -3 X2 = e-t 3 X3 = et 2 (b) xị = e2t -3 X2 = e=t 1 X3 = e' | 2 3 1 2 (c) x1 = et 3 3, x2 = e-t X3 = et (d) x1 = e-2t -3 X2 = et X3 = e 3 (e) None of the above.
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