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For each of the following systems, sketch the x and y nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x, y > 0. (a) x' = x(y+2x – 2), y' = y(y – 1) (b) x %—D х(у+ 2х—- 2), у %3D у(у +х — 3) (с) *%3D х(2 — у—- 2х), у %3D у(3 — Зу — х) %3D |

For each of the following systems, sketch the x and y nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x, y > 0. (a) x' = x(y+2x – 2), y' = y(y – 1) (b) x %—D х(у+ 2х—- 2), у %3D у(у +х — 3) (с) *%3D х(2 — у—- 2х), у %3D у(3 — Зу — х) %3D |

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
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Please do a,c,d

For each of the following systems, sketch the x and y nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x, y > 0. (a) x' = x(y+2x - 2), y' = y(y – 1) (b) * %3 х(у + 2х — 2), у %3D у(у +х — 3) (с) * %—D x(2 — у - 2х), у %3 у(3 — 3у — х) (d) X %3D х(2 — у - 2х), у — у(3 — у - 4x) (e) x' = x(2500 –x² – y²), y' = y(70 – y – x) %3D %3D
Transcribed Image Text:For each of the following systems, sketch the x and y nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x, y > 0. (a) x' = x(y+2x - 2), y' = y(y – 1) (b) * %3 х(у + 2х — 2), у %3D у(у +х — 3) (с) * %—D x(2 — у - 2х), у %3 у(3 — 3у — х) (d) X %3D х(2 — у - 2х), у — у(3 — у - 4x) (e) x' = x(2500 –x² – y²), y' = y(70 – y – x) %3D %3D
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