Consider the autonomous system of non-linear equations * = u(x, y), where u is a vector field with map shown below. 5-11 1111\/ 3-11 3 1 1 1 1 → \^^^^^- 1 1 1 1 1 1 1 */ / ↑↑↑↑ 1 1 1 1 1 1 ↑

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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Consider the autonomous system of non-linear equations * = u(x, y), where u is a vector field with
map shown below.
5
1 1 1 1 1 1
✓
↑↑↑↑↑↑
111111
3-11 1
✓
x
1
2
3
4
5
This system has an equilibrium point at (2, 1). Assume that the behaviour of the vector field close to the
equilibrium point is the same as pattern of arrows shown.
Select the option that could be the classification of the equilibrium point at (2, 1).
Select one:
O Source
Saddle
Centre
O Sink
Transcribed Image Text:Consider the autonomous system of non-linear equations * = u(x, y), where u is a vector field with map shown below. 5 1 1 1 1 1 1 ✓ ↑↑↑↑↑↑ 111111 3-11 1 ✓ x 1 2 3 4 5 This system has an equilibrium point at (2, 1). Assume that the behaviour of the vector field close to the equilibrium point is the same as pattern of arrows shown. Select the option that could be the classification of the equilibrium point at (2, 1). Select one: O Source Saddle Centre O Sink
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