Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a) Which of the following systems of ODEs is autonomous and dynamical? Oll where 1:y₁' = 3y₁, y2 = y₁ - y2 II: ₁ = dy₂ III: = In (3+|y1|), da = -Y2 y₂e₁ — ln(1 + y2), y2 = (Y₁Y2) 5/2 0₁ b) Find out which of the following options are equilibria of the dynamical system, 0₁ OIV where I: (y₁, y) = (1, 0); II: (y†, yž) = (4,0); III: (y, y) = (4, 1/4); IV:(y₁, yž) = (1, 1). Olll, y₁ = 12-11, y2 = (y₁ - 4)y2 Olll Oll

a) Which of the following systems of ODEs is autonomous and dynamical? Oll where 1:y₁' = 3y₁, y2 = y₁ - y2 II: ₁ = dy₂ III: = In (3+|y1|), da = -Y2 y₂e₁ — ln(1 + y2), y2 = (Y₁Y2) 5/2 0₁ b) Find out which of the following options are equilibria of the dynamical system, 0₁ OIV where I: (y₁, y) = (1, 0); II: (y†, yž) = (4,0); III: (y, y) = (4, 1/4); IV:(y₁, yž) = (1, 1). Olll, y₁ = 12-11, y2 = (y₁ - 4)y2 Olll Oll

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
a) Which of the following systems of ODEs is autonomous and dynamical? where |: y₁′ = 3y₁, _Y2'′ = Y1 — Y2 II: Y₁ = Y2e¾¹ − In(1 + |y2|), Y2 = (Y₁Y2)5/2 -Y2 II: ₁ = ln(3+|y₁|), |||: dx dy₂ dx = b) Find out which of the following options are equilibria of the dynamical system, Y₁ = €¥1Y₂—1 OIV where I:(y₁, yž) = (1, 0); II:(y†, yž) = (4,0); III:(y₁, yž) = (4, 1/4); IV:(y†, yž) = (1, 1). - Olll, 1, y₂ = (y₁ — 4)Y2 - Dill Oll
Transcribed Image Text:a) Which of the following systems of ODEs is autonomous and dynamical? where |: y₁′ = 3y₁, _Y2'′ = Y1 — Y2 II: Y₁ = Y2e¾¹ − In(1 + |y2|), Y2 = (Y₁Y2)5/2 -Y2 II: ₁ = ln(3+|y₁|), |||: dx dy₂ dx = b) Find out which of the following options are equilibria of the dynamical system, Y₁ = €¥1Y₂—1 OIV where I:(y₁, yž) = (1, 0); II:(y†, yž) = (4,0); III:(y₁, yž) = (4, 1/4); IV:(y†, yž) = (1, 1). - Olll, 1, y₂ = (y₁ — 4)Y2 - Dill Oll
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS