Find the solution of the given initial value problem. 5y" + 185y' 1060y = 0; y(0) = 12, y'(0) = 42, y″(0) = −464. y(t) = = How does the solution behave as t → ∞o?
Find the solution of the given initial value problem. 5y" + 185y' 1060y = 0; y(0) = 12, y'(0) = 42, y″(0) = −464. y(t) = = How does the solution behave as t → ∞o?
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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Question
![Find the solution of the given initial value problem.
5y""+185y' 1060y = 0;
y(0) = 12, y'(0) = 42, y″(0) =
=
y(t):
How does the solution behave as t→∞?
-464.
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with an increasing amplitude](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bc8cba4-49c0-4379-b32b-d36c5fc9e41e%2F2b7453b2-5efd-4dc6-8d45-39b6c219aad8%2Fmpcdoci_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution of the given initial value problem.
5y""+185y' 1060y = 0;
y(0) = 12, y'(0) = 42, y″(0) =
=
y(t):
How does the solution behave as t→∞?
-464.
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with an increasing amplitude
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