(a) Find the equilibrium solution, or critical point, of the given system.(b) Use a computer to draw a direction field and phase portrait centered at the critical point.(c) Describe how solutions of the system behave in the vicinity of the critical point.15. x' = -x + y +1, y'=x+y−3

As per the question we are given a linear dynamic system as : x' = -x + y + 1 , y' = x + y - 3 And…

Answered: (a) Find the equilibrium solution, or…

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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(a) Find the equilibrium solution, or critical point, of the given system. (b) Use a computer to draw a direction field and phase portrait centered at the critical point. (c) Describe how solutions of the system behave in the vicinity of the critical point. 15. x' = -x + y +1, y'=x+y−3