Find the solution of the given initial value problem. 7y""+63y' 1890y = 0; y(0) = 11, y'(0) = 15, y″(0) = −351. y(t) = = How does the solution behave as t→ ∞? Choose one

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.
7y""+63y' - 1890y = 0;
y(0) = 11, y'(0) = 15, y″(0) = −351.
y(t) =
How does the solution behave as t → ∞?
Choose one
Transcribed Image Text:Find the solution of the given initial value problem. 7y""+63y' - 1890y = 0; y(0) = 11, y'(0) = 15, y″(0) = −351. y(t) = How does the solution behave as t → ∞? Choose one
Find the solution of the given initial value problem.
7y""+63y' - 1890y = 0;
y(0) = 11, y'(0) = 15, y″(0) = -351.
y(t):
How does the solution behave as t → ∞o?
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. 7y""+63y' - 1890y = 0; y(0) = 11, y'(0) = 15, y″(0) = -351. y(t): How does the solution behave as t → ∞o? Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with an increasing amplitude
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