3. Find all equilibrium values of the system of differential equations:dxdt(a)(b) {(c)14x2x² - xy== 16y - 2y² - xy=dtx' = x(x − y + 1)y' = y(y + 2x)dxdtdydt==x - x² - 2xy2y - 2y² - 3xy

3) (a) The simultaneous differential equations are dxdt=14x-2x2-xydydt=16y-2y2-xy Therefore,…

Answered: 3. Find all equilibrium values of the…

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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3. Find all equilibrium values of the system of differential equations: dx (a) (b) { (c) dt = 14x2x² - xy = 16y - 2y² - xy dt x' = x(x -y + 1) y' = y(y + 2x) dx dt dy dt = x - x² - 2xy = 2y - 2y² - 3xy