Find the solution of the initial value problem y" + 16y = 0, y(72) = 8, y¹ (72) = -16. Sketch the graph of the solution and describe its behavior for increasing t. y(t) = The solution Choose one Choose the co 10 5 3++++| O +++++++ Choose one is a steady oscillation. converges to a constant value. oscillates with an exponentially growing amplitude. is positively unbounded. 1 2 + 3 4 5 6 t

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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Find the solution of the initial value problem
= -16.
y”+ 16y = 0, y(77) = 8, y' (77) ²
Sketch the graph of the solution and describe its behavior for
increasing t.
y(t):
=
The solution Choose one
Choose the co
Y
10
5
O
Choose one
is a steady oscillation.
converges to a constant value.
oscillates with an exponentially growing amplitude.
is positively
unbounded.
2
3
10
5
6
t
Transcribed Image Text:Find the solution of the initial value problem = -16. y”+ 16y = 0, y(77) = 8, y' (77) ² Sketch the graph of the solution and describe its behavior for increasing t. y(t): = The solution Choose one Choose the co Y 10 5 O Choose one is a steady oscillation. converges to a constant value. oscillates with an exponentially growing amplitude. is positively unbounded. 2 3 10 5 6 t
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