Find the solution of the given initial value problem. 5y""+120y' 800y = 0; y(0) = 11, y'(0) = 26, y'(0) = −400. y(t) = How does the solution behave as t→ ∞? Choose one
Find the solution of the given initial value problem. 5y""+120y' 800y = 0; y(0) = 11, y'(0) = 26, y'(0) = −400. y(t) = How does the solution behave as t→ ∞? Choose one
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Transcribed Image Text:Find the solution of the given initial value problem.
5y""+120y' - 800y = 0;
y(0) = 11, y'(0) = 26, y'(0)
y(t)
=
=
How does the solution behave as t→∞?
Choose one
-400.
Transcribed Image Text:Find the solution of the given initial value problem.
5y""+120y' 800y = 0;
y(0) = 11, y'(0) = 26, y″(0) = -400.
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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