Answered: {}= { -p+q²-p², q - 2qp. -p+q²-p² = 0,…

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{}= { -p+q²-p², q - 2qp. -p+q²-p² = 0, q-2qp = 0. Eo = (0,0), E₁ = (0, -1), E₂ = E₁- (+³1), E₂- (-²³) = E3= = 22

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.5: Other Types Of Equations

Problem 2E

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Question

I have the following set of differential equations, the solution is attached too, the exercise is to find the equilibrium points, I don't understand how we get to that answer so if able please explain the missing steps in detail , I am very new to differential equations. Thank you in advance.

02
p
=
=
-p+q²-p²,
q - 2qp.
-p+q²-p²
9 - 2qp
{-P+.
= = 0,
= 0.
1
Eo = (0,0), E₁ = (0,-1), E₂ = = (1/3³; ¹), Es = (-13³¹, ¹).
E3
(12)

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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