(a) Select the direction field for y' = 4y - 8. 4 3 Figure 1 2 0- -1- -2- -3- -4- Y I - I I ¹ 1 I I 2 I 3 ↓ ↓ I 1 I I I I I 1 As t∞o, y Choose one $6+ ↓ ↓↓↓↓↓↓↓↓↓ ↓↓↓↓↓↓↓↓↓↓↓ ↓↓↓↓↓↓↓↓↓↓↓↓ ↓↓↓↓↓↓↓↓↓↓↓↓ I The equilibrium solution is y = 14 ↓↓↓↓ +++ (b) Use the direction field to determine the equilibrium solution. NOTE: Every finite answer is an integer value. 1 I 1 (c) Describe the behavior of y as t → ∞. NOTE: Assume y is not equal to the equilibruim solution.
(a) Select the direction field for y' = 4y - 8. 4 3 Figure 1 2 0- -1- -2- -3- -4- Y I - I I ¹ 1 I I 2 I 3 ↓ ↓ I 1 I I I I I 1 As t∞o, y Choose one $6+ ↓ ↓↓↓↓↓↓↓↓↓ ↓↓↓↓↓↓↓↓↓↓↓ ↓↓↓↓↓↓↓↓↓↓↓↓ ↓↓↓↓↓↓↓↓↓↓↓↓ I The equilibrium solution is y = 14 ↓↓↓↓ +++ (b) Use the direction field to determine the equilibrium solution. NOTE: Every finite answer is an integer value. 1 I 1 (c) Describe the behavior of y as t → ∞. NOTE: Assume y is not equal to the equilibruim solution.
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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2. Help pls answer the ff:
Transcribed Image Text:(a) Select the direction field for y' = 4y - 8.
4
3
2
0-
-1-
-2-
-3-
Figure 1
-4-
Y
I
-
I
I
¹
↓
1
I I
2
I I 1 I I I I
3
↓ ↓
↓↓↓↓↓↓↓↓↓↓↓
$6+
1
The equilibrium solution is y =
As t∞o, y Choose one
I
14
↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓
I
+++
(b) Use the direction field to determine the equilibrium solution.
NOTE: Every finite answer is an integer value.
I I 1
(c) Describe the behavior of y as t → ∞.
NOTE: Assume y is not equal to the equilibruim solution.
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