Find the solution of the initial value problem y" + 36y = 0, y() = = 6, y' (7) = -12. Sketch the graph of the solution and describe its behavior for increasing t. y(t): = The solution Choose one Choose the co 10 S++++f Choose one is positively unbounded. oscillates with an exponentially growing amplitude. converges to a constant value. illati

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the solution of the initial value problem
y" + 36y = 0, y()
=
= 6, y' (7) = -12.
18.
Sketch the graph of the solution and describe its behavior for
increasing t.
y(t):
=
The solution Choose one
Choose the co
10
CT
-5
-10
S+++++++
+++++
Choose one
is positively unbounded.
oscillates with an exponentially growing amplitude.
converges to a constant value.
is a steady oscillation.
1
+
2
3
4
+
5
6
Transcribed Image Text:Find the solution of the initial value problem y" + 36y = 0, y() = = 6, y' (7) = -12. 18. Sketch the graph of the solution and describe its behavior for increasing t. y(t): = The solution Choose one Choose the co 10 CT -5 -10 S+++++++ +++++ Choose one is positively unbounded. oscillates with an exponentially growing amplitude. converges to a constant value. is a steady oscillation. 1 + 2 3 4 + 5 6
Find the solution of the initial value problem
y” +36y = 0, y() =
= 0, y (7) = 6, y′ (7) = -12.
Sketch the graph of the solution and describe its behavior for
increasing t.
y(t)
=
The solution Choose one ▼
Choose the correct graph.
y
10
10
-10
-+
1
N +
2
co +
3
Choose one
4
+
-10
5
- co
6
Transcribed Image Text:Find the solution of the initial value problem y” +36y = 0, y() = = 0, y (7) = 6, y′ (7) = -12. Sketch the graph of the solution and describe its behavior for increasing t. y(t) = The solution Choose one ▼ Choose the correct graph. y 10 10 -10 -+ 1 N + 2 co + 3 Choose one 4 + -10 5 - co 6
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