a) Which of the following systems of ODES is autonomous and dynamical? where ty₁ = e-sin(₂), y₂ = ₁ + y₂ 11:=5y₁. =-y2 :y₁ = 3y2. y2 = 132-92 b) Find out which of the following options are equilibria of the dynamical system, 111 where 1:(.)=(5,0); 11:(. )=(3,0); III:-)=(0, 1): IV:(₁-x) =(3,2). ye-1, y = (y₁ - 3)2 IV
a) Which of the following systems of ODES is autonomous and dynamical? where ty₁ = e-sin(₂), y₂ = ₁ + y₂ 11:=5y₁. =-y2 :y₁ = 3y2. y2 = 132-92 b) Find out which of the following options are equilibria of the dynamical system, 111 where 1:(.)=(5,0); 11:(. )=(3,0); III:-)=(0, 1): IV:(₁-x) =(3,2). ye-1, y = (y₁ - 3)2 IV
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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Transcribed Image Text:a) Which of the following systems of ODES is autonomous and dynamical?
where
1:₁ = e-sin(₂), ₂ = ₁ + y₂
11: = 5₁.
= -9₂
dx
:y₁ = 3y2, y2 = 9192-92
b) Find out which of the following options are equilibria of the dynamical system,
y₁ =
11
111
where 1:(₁.2)=(5,0); II:(,)=(3,0);
III:(.) = (0, 1): IV:(₁-x) =(3,2).
-1₁ y₂ = (1 - 3)2
CIV
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