Find the solution of the given initial value problem. y (4) — 6y"" +9y" = 0; y(1) = 10+e³, y'(1) = 7+3e³, y"(1) = 9e³, y"″(1) = 27e³. y(t): How does the solution behave as t→ ∞?

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 given initial value problem.
y(4) — 6y"" +9y" = 0;
y(1) = 10 + e³, y'(1) = 7+3e³, y"(1) = 9e³, y"″(1) = 27e³.
y(t)
=
How does the solution behave as too?
Choose one
Transcribed Image Text:Find the solution of the given initial value problem. y(4) — 6y"" +9y" = 0; y(1) = 10 + e³, y'(1) = 7+3e³, y"(1) = 9e³, y"″(1) = 27e³. y(t) = How does the solution behave as too? Choose one
H
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with a decreasing amplitude
Oscillating with an increasing amplitude
Transcribed Image Text:H Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with a decreasing amplitude Oscillating with an increasing amplitude
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