Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane the respective initial value problem on the right. The small pointers on the lines shows how the solution reacts as the t value goes up. /28 15 18 5 8.of 0.2+ -1 -8.5 -8.2+ 3 4 x1 8.5 x1 B. A. −[ −˜])², 20) = z(0) – H- 1 #'-[0.3 -07 = |ž, ž(0) = [1]. C. 0 z' = [ 2 3]ž, ž(0) = 0 H.

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
Q6.31
Look at the directional fields of phase planes below. Draw a line to match each phase
plane the respective initial value problem on the right. The small pointers on the lines
shows how the solution reacts as the t value goes up.
20
15
18
5
1
8.4t
8.2
-1 -8.5
2 3 4 x1
-0.2+
-0.4
x2
0.5 1x1
x1
B.
C.
18
A.
1
击
= [0.5 -0.5], 2(0) =
7' =
- 14
P ¯`J², 20= []
=
-[-2]]²
H.
|ž, ž(0) = [C].
0
Transcribed Image Text:Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane the respective initial value problem on the right. The small pointers on the lines shows how the solution reacts as the t value goes up. 20 15 18 5 1 8.4t 8.2 -1 -8.5 2 3 4 x1 -0.2+ -0.4 x2 0.5 1x1 x1 B. C. 18 A. 1 击 = [0.5 -0.5], 2(0) = 7' = - 14 P ¯`J², 20= [] = -[-2]]² H. |ž, ž(0) = [C]. 0
x2
x1
D.
TH
11
-0.51
[1]
0.5
=
- D.
, (0)=
Transcribed Image Text:x2 x1 D. TH 11 -0.51 [1] 0.5 = - D. , (0)=
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