- Solve the initial value problem x' = ( 1²¹ )x, x(0) = ( 5 Describe the behavior of the solution as t →∞o. x = Choose one Choose one Choose one 1→ ∞ and x2 → ∞o as t→∞ ->> 0 as too 10 and 2 1-∞ and x2 -∞ as t → ∞ 2 - -3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7
(1)x, x(0)-(3).
2
5
Describe the behavior of the solution as t → ∞o.
Solve the initial value problem x ¹)
x = Choose one
Choose one
Choose one
100 and x2 →∞ as t→∞
→ 0 and 2
0 as t→ ∞
1-∞ and 2 →-∞ as t → ∞
X1 -
→
Transcribed Image Text:7 (1)x, x(0)-(3). 2 5 Describe the behavior of the solution as t → ∞o. Solve the initial value problem x ¹) x = Choose one Choose one Choose one 100 and x2 →∞ as t→∞ → 0 and 2 0 as t→ ∞ 1-∞ and 2 →-∞ as t → ∞ X1 - →
7
2
Solve the initial value problem x = (1²¹)x, x(0) = (²3)
7)
5
-3
Describe the behavior of the solution as t → ∞o.
X = Choose one
Choo
13
4
13
Choose one
13
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Transcribed Image Text:7 2 Solve the initial value problem x = (1²¹)x, x(0) = (²3) 7) 5 -3 Describe the behavior of the solution as t → ∞o. X = Choose one Choo 13 4 13 Choose one 13 4 -6t 5 (1) ^+ (¹) " -6t e 5 5 - ³/1 (1¹3) e-²² -2t е eft 5 5 e2t 2t 13 - (1) * - * (1) * 5 e6t
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