Find the solution of the given initial value problem. 5y" +45y' 1350y = 0; y(0) = 12, y'(0) = 39, y"(0) = -423. y(t) = How does the solution behave as t → ∞? Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with an increasing amplitude

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the solution of the given initial value problem.
5y"" +45y' 1350y = 0;
y (0) = 12, y'(0) = 39, y'(0) = −423.
y(t)
=
How does the solution behave as t→ ∞?
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with an increasing amplitude
Transcribed Image Text:Find the solution of the given initial value problem. 5y"" +45y' 1350y = 0; y (0) = 12, y'(0) = 39, y'(0) = −423. y(t) = How does the solution behave as t→ ∞? Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with an increasing amplitude
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