Consider the following. y" + 5y0, y(0) -2, y(0) = 5 Find the solution of the given initial value problem. y(t) M Sketch the graph of the solution. y -0.5 -1.0 -1.5 -2.0 = 0.5 1.0 1.5 2.0 2.5 3.0 t 2.0 1.5 1.0 0.5 0.5 1.0 15 2.0 2.5 3.0 t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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y
-0.5
-1.0
0-1.5
05 1.0
1.5 2.0 2.5 3.0
Describe its behavior as t increases.
O The solution increases without bound as to
O The solution converges to -1 as too.
The solution converges to 0 ast-
O The solution decreases without bound as t
The solution converges to 1 as too.
y
-0.5
-1.0
-1.3
-2.0
O
0.5
1.0 1.5
2.0
2.5 30
Transcribed Image Text:y -0.5 -1.0 0-1.5 05 1.0 1.5 2.0 2.5 3.0 Describe its behavior as t increases. O The solution increases without bound as to O The solution converges to -1 as too. The solution converges to 0 ast- O The solution decreases without bound as t The solution converges to 1 as too. y -0.5 -1.0 -1.3 -2.0 O 0.5 1.0 1.5 2.0 2.5 30
Consider the following.
y" + 5y'-0, y(0) -2, y(0) = 5
Find the solution of the given initial value problem.
y(t) M
Sketch the graph of the solution.
y
-0.5
-1.0
-1.5
-2.0
=
0.5
1.0
1.5
2.0
2.5
3.0
2.0
1.5
1.0
0.5
0.5
1.0
1.5 2.0
2.5
3.0
1
Transcribed Image Text:Consider the following. y" + 5y'-0, y(0) -2, y(0) = 5 Find the solution of the given initial value problem. y(t) M Sketch the graph of the solution. y -0.5 -1.0 -1.5 -2.0 = 0.5 1.0 1.5 2.0 2.5 3.0 2.0 1.5 1.0 0.5 0.5 1.0 1.5 2.0 2.5 3.0 1
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