4. Solve the initial value problem x = (₁5) x₁ =H. Describe the behavior of the solution as t →∞o. x, x(0) OA. The solution approaches the origin. OB. The solution asymptotically approaches the line y = 2. OC. The solution asymptotically approaches the line y=-x. OD. The solution spirals towards the origin. OE. The solution spirals away from the origin OF. None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Solve the initial value problem
x(0) = [H].
Describe the behavior of the solution as t → ∞o.
1 -5
x² = (₁3) x₂
OA. The solution approaches the origin.
OB. The solution asymptotically approaches the line y = x.
OC. The solution asymptotically approaches the line y = -x.
O D. The solution spirals towards the origin.
O E. The solution spirals away from the origin.
OF. None of the above.
Transcribed Image Text:4. Solve the initial value problem x(0) = [H]. Describe the behavior of the solution as t → ∞o. 1 -5 x² = (₁3) x₂ OA. The solution approaches the origin. OB. The solution asymptotically approaches the line y = x. OC. The solution asymptotically approaches the line y = -x. O D. The solution spirals towards the origin. O E. The solution spirals away from the origin. OF. None of the above.
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