a) Which of the following systems of ODEs is autonomous and dynamical? OIII, where 1: y₁ = e sin(y₂), y2 = ₁ + y2 - ||: y = 5y₁, =-Y2 dy2 dx dx III: y₁' = 3y2, Y2' = V1 Y2 - y2 Oll b) Find out which of the following options are equilibria of the dynamical system, y₁=e121, OIV where I: (y₁, y) = (5,0); II:(y₁, y) = (3,0); III: (y₁, y) = (0, 1); IV:(y₁, y) = (3,2). Olll y2 = (y₁ - 3)y2 Oll
a) Which of the following systems of ODEs is autonomous and dynamical? OIII, where 1: y₁ = e sin(y₂), y2 = ₁ + y2 - ||: y = 5y₁, =-Y2 dy2 dx dx III: y₁' = 3y2, Y2' = V1 Y2 - y2 Oll b) Find out which of the following options are equilibria of the dynamical system, y₁=e121, OIV where I: (y₁, y) = (5,0); II:(y₁, y) = (3,0); III: (y₁, y) = (0, 1); IV:(y₁, y) = (3,2). Olll y2 = (y₁ - 3)y2 Oll
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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