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Find the solution of the initial value problem y" + 4y' + 5y = 0, Y (²7) = 0, y¹ (7) y(t) = = = 6. -6 e cos(t) e -2t How does the solution behave as t → ∞? Exponential decay to a constant X

Find the solution of the initial value problem y" + 4y' + 5y = 0, Y (²7) = 0, y¹ (7) y(t) = = = 6. -6 e cos(t) e -2t How does the solution behave as t → ∞? Exponential decay to a constant X

Advanced Engineering Mathematics
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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Exponential decay to a constant Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with increasing amplitude Oscillating with decreasing amplitude
Transcribed Image Text:Exponential decay to a constant Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with increasing amplitude Oscillating with decreasing amplitude
Find the solution of the initial value problem y" + 4y' + 5y = 0, y ( )= - Y y(t) 0, y¹ (7) = 6. -6 e cos(t) e -2t How does the solution behave as too? Exponential decay to a constant X
Transcribed Image Text:Find the solution of the initial value problem y" + 4y' + 5y = 0, y ( )= - Y y(t) 0, y¹ (7) = 6. -6 e cos(t) e -2t How does the solution behave as too? Exponential decay to a constant X
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