Classify the origin as an attractor, repeller, or saddle point of the dynamical system x, +1 = Axk. Find the directions of greatest attraction and/or repulsion. 0.8 1.2 A= - 0.2 1.8 B. The origin is a repeller. Oc. The origin is a saddle point. Find the direction of greatest attraction if it applies. Choose the correct answer below. 2 O A. The direction of greatest attraction is along the line through 0 and 1 14 O B. The direction of greatest attraction is along the line through 0 and 12 12 OC. The direction of greatest attraction is along the line through 0 and 14 O D. The direction of greatest attraction is along the line through 0 and 1 O E. The origin is a repeller. It has no direction of greatest attraction. Find the direction of greatest repulsion if it applies. Choose the correct answer below. O A. The direction of greatest repulsion is along the line through 0 and 1 12 B. The direction of greatest repulsion is along the line through 0 and 14 Oc. The direction of greatest repulsion is along the line through 0 and 14 O D. The direction of greatest repulsion is along the line through 0 and 12 O E. The origin is an attractor. It has no direction of greatest repulsion.
Classify the origin as an attractor, repeller, or saddle point of the dynamical system x, +1 = Axk. Find the directions of greatest attraction and/or repulsion. 0.8 1.2 A= - 0.2 1.8 B. The origin is a repeller. Oc. The origin is a saddle point. Find the direction of greatest attraction if it applies. Choose the correct answer below. 2 O A. The direction of greatest attraction is along the line through 0 and 1 14 O B. The direction of greatest attraction is along the line through 0 and 12 12 OC. The direction of greatest attraction is along the line through 0 and 14 O D. The direction of greatest attraction is along the line through 0 and 1 O E. The origin is a repeller. It has no direction of greatest attraction. Find the direction of greatest repulsion if it applies. Choose the correct answer below. O A. The direction of greatest repulsion is along the line through 0 and 1 12 B. The direction of greatest repulsion is along the line through 0 and 14 Oc. The direction of greatest repulsion is along the line through 0 and 14 O D. The direction of greatest repulsion is along the line through 0 and 12 O E. The origin is an attractor. It has no direction of greatest repulsion.
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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how do you find the direction of greatest repulsion
Transcribed Image Text:Classify the origin as an attractor, repeller, or saddle point of the dynamical system xg + 1 = Axk. Find the directions of greatest attraction and/or repulsion.
0.8 1.2
A=
- 0.2 1.8
B. The origin is a repeller.
Oc. The origin is a saddle point.
Find the direction of greatest attraction if it applies. Choose the correct answer below.
2
O A. The direction of greatest attraction is along the line through 0 and
1
14
O B. The direction of greatest attraction is along the line through 0 and
12
12
OC. The direction of greatest attraction is along the line through 0 and
14
O D. The direction of greatest attraction is along the line through 0 and
1
O E. The origin is a repeller. It has no direction of greatest attraction.
Find the direction of greatest repulsion if it applies. Choose the correct answer below.
3
O A. The direction of greatest repulsion is along the line through 0 and
1
12
B. The direction of greatest repulsion is along the line through 0 and
14
Oc. The direction of greatest repulsion is along the line through 0 and
14
O D. The direction of greatest repulsion is along the line through 0 and
12
O E. The origin is an attractor. It has no direction of greatest repulsion.
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