Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a) Which of the following systems of ODES is autonomous and dynamical? OI Oll OIII, where 1:y₁ = 3y₁, y2 = y₁ - y2 ||: y₁ = y₂e³¹ — ln(1 +|y2|), y2 = (y₁y2) 5/2 - =-Y2 III: = ln(3 + |31), dy₁ da dy₂ dx b) Find out which of the following options are equilibria of the dynamical system, y₁ = e192-1-1, y2 = (y₁ - 4)y2 Oll OIII OIV where I: (yi, y) = (1, 0); II: (y1, y2) = (4,0); III: (y₁, y2)=(4, 1/4); IV:(y, y₂) = (1, 1).

a) Which of the following systems of ODES is autonomous and dynamical? OI Oll OIII, where 1:y₁ = 3y₁, y2 = y₁ - y2 ||: y₁ = y₂e³¹ — ln(1 +|y2|), y2 = (y₁y2) 5/2 - =-Y2 III: = ln(3 + |31), dy₁ da dy₂ dx b) Find out which of the following options are equilibria of the dynamical system, y₁ = e192-1-1, y2 = (y₁ - 4)y2 Oll OIII OIV where I: (yi, y) = (1, 0); II: (y1, y2) = (4,0); III: (y₁, y2)=(4, 1/4); IV:(y, y₂) = (1, 1).

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? Oll Olll, where 1: y₁' = 3y₁, y₂ = Y₁ - Y2 Y2' ||: y₁ = y₂e³¹ - In(1 + y2), y2 = (y₁y2) 5/2 dy₁ dy₂ |||: = ln(3 + |y₁|), = -Y2 dx dx b) Find out which of the following options are equilibria of the dynamical system, y₁ = ³12-11, y2 = (y₁ - 4)y2 Oll OIII OIV where I: (y1, y) = (1, 0); II: (y₁, y₂) = (4,0); III:(y₁, y) = (4, 1/4); IV:(y₁, y₂) = (1,1).
Transcribed Image Text:a) Which of the following systems of ODEs is autonomous and dynamical? Oll Olll, where 1: y₁' = 3y₁, y₂ = Y₁ - Y2 Y2' ||: y₁ = y₂e³¹ - In(1 + y2), y2 = (y₁y2) 5/2 dy₁ dy₂ |||: = ln(3 + |y₁|), = -Y2 dx dx b) Find out which of the following options are equilibria of the dynamical system, y₁ = ³12-11, y2 = (y₁ - 4)y2 Oll OIII OIV where I: (y1, y) = (1, 0); II: (y₁, y₂) = (4,0); III:(y₁, y) = (4, 1/4); IV:(y₁, y₂) = (1,1).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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