The critical point (0, 0) of the almost linear system is:dx - 5x+ y(-3+x + y')dt* = 5x+y(x +y)dta) Unstable improper node.b) Unstable spiral point.c) Asymptotically stable spiral point.d) Asymptotically stable improper node.

The nonlinear system of differential equation is: dxdt=5x-3y+x2y+y3dydt=5x+x2y+y3 We have to…

Answered: The critical point (0, 0) of the almost…

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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The critical point (0, 0) of the almost linear system is: dx = 5x+ y(-3+x +y') dt ở - 5x+y(x +y*) dt a) Unstable improper node. b) Unstable spiral point. c) Asymptotically stable spiral point. d) Asymptotically stable improper node.