-5 Find the solution the initial value problem x'= ( 2 х, -2 -5 x(0) = ( -3 |Choose one Describe the behavior of the solution as t → ∞. Choose one Choose one 0 as t → O x → 0 ast → ∞ -∞ as t – ∞

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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Related questions
Question
-5
2
Find the solution the initial value problem x' = (
-2
|x,
-5
x(0) = (
-3
x = Choose one
Describe the behavior of the solution ast → .
|Choose one
Choose one
x → 0 as t → 0
→ ∞ as t
00 as t –
Transcribed Image Text:-5 2 Find the solution the initial value problem x' = ( -2 |x, -5 x(0) = ( -3 x = Choose one Describe the behavior of the solution ast → . |Choose one Choose one x → 0 as t → 0 → ∞ as t 00 as t –
-5
2
Find the solution the initial value problem x
х,
-2 -5
5
x(0)
-3
x = Choose one
Choose one
5 cos(2t) – 3 sin(2t)
-5 sin(2t) – 3 cos(2t)
-
,-5t
e
Desci
as t → 0.
Chod
5 cos(2t) – 3 sin(2t)
5 sin(2t) + 3 cos(2t)
-5t
e
5 cos(2t) – 3 sin(2t)
5 sin(2t) + 3 cos(2t)
e
5 cos (2t) + 3 sin(2t)
5 sin(2t) – 3 cos(2t)
)
-5t
e
Transcribed Image Text:-5 2 Find the solution the initial value problem x х, -2 -5 5 x(0) -3 x = Choose one Choose one 5 cos(2t) – 3 sin(2t) -5 sin(2t) – 3 cos(2t) - ,-5t e Desci as t → 0. Chod 5 cos(2t) – 3 sin(2t) 5 sin(2t) + 3 cos(2t) -5t e 5 cos(2t) – 3 sin(2t) 5 sin(2t) + 3 cos(2t) e 5 cos (2t) + 3 sin(2t) 5 sin(2t) – 3 cos(2t) ) -5t e
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