From the information available on the graph above, which of the following statements is correct: O The equilibrium points depicted are neither stable nor unstable. O The solutions to the system converge to an equilibrium point as t → ∞ O The solutions to the system converge to an equilibrium point as a → ∞ O The solutions are periodic.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 37E
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dx/dt = f(x,y)

dy/dt = g(x,y)

This is the phase portrait of a system of differential equations of the above. Please show the steps and explain them. Thank you!

From the information available on the graph above, which of the following statements is correct:
The equilibrium points depicted are neither stable nor unstable.
The solutions to the system converge to an equilibrium point as t → ∞
O The solutions to the system converge to an equilibrium point as →∞
O The solutions are periodic.
Transcribed Image Text:From the information available on the graph above, which of the following statements is correct: The equilibrium points depicted are neither stable nor unstable. The solutions to the system converge to an equilibrium point as t → ∞ O The solutions to the system converge to an equilibrium point as →∞ O The solutions are periodic.
9.75
9
8.25
7.5
6.75
6
5.25
4.5
3.75
3
2.25
1.5
0.75
O
-0.75
1
-0.75
دود
درو در
پودے
1 ↑
0
ا
0.75
1.5
2.25
↓
3
4
ے ہے کے کا کا
ہلاک
3.75
->>
4.5
دے دے
دددددده
ور مدد
ا
5.25
در در درد
↑
6
6.75
۴
→
A
7.5
8.25
↓
9
9.75
Transcribed Image Text:9.75 9 8.25 7.5 6.75 6 5.25 4.5 3.75 3 2.25 1.5 0.75 O -0.75 1 -0.75 دود درو در پودے 1 ↑ 0 ا 0.75 1.5 2.25 ↓ 3 4 ے ہے کے کا کا ہلاک 3.75 ->> 4.5 دے دے دددددده ور مدد ا 5.25 در در درد ↑ 6 6.75 ۴ → A 7.5 8.25 ↓ 9 9.75
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