- Solve the initial value problem 25y" − 40y' + 16y = 0, y(0) = 2, y'(0) = 3. Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with a decreasing amplitude Oscillating with an increasing amplitude

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Solve the initial value problem 25y" − 40y' + 16y = 0, y(0) = 2,
y'(0) = 3.
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:- Solve the initial value problem 25y" − 40y' + 16y = 0, y(0) = 2, y'(0) = 3. Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with a decreasing amplitude Oscillating with an increasing amplitude
Solve the initial value problem 25y" − 40y' + 16y = 0, y(0) = 2,
y'(0) = 3.
y(t) =
=
How does the solution behave as t → ∞?
Choose one ▾
Transcribed Image Text:Solve the initial value problem 25y" − 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = = How does the solution behave as t → ∞? Choose one ▾
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