Find the solution of the initial value problem y" + 4y + 5y = 0, 3) = 0, y = 6. Y (7) تھی y(t) = -6 e cos(t) e-2t ✓ How does the solution behave as t ∞o? Oscillating with decreasing amplitude ✔

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the solution of the initial value problem y" + 4y + 5y = 0,
* )=0, x) = 6.
Y
y(t) = -6 e cos(t) e-2t
✓
How does the solution behave as t
→∞?
Oscillating with decreasing amplitude ✔
Transcribed Image Text:Find the solution of the initial value problem y" + 4y + 5y = 0, * )=0, x) = 6. Y y(t) = -6 e cos(t) e-2t ✓ How does the solution behave as t →∞? Oscillating with decreasing amplitude ✔
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