Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph of the solution and describe its behavior for increasing t. y(t) = = -16.
Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph of the solution and describe its behavior for increasing t. y(t) = = -16.
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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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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