Question

Notify Me Bookmark

(8 points) Use the below system to answer the following questions. x′ = 2x(1 − x2) − xy y′ = 3y(1 − y3) − 2xy (a) Identify the equations of the Nullclines of the system. (b) Sketch an accurate graph of the Nullclinces of the system. (c) On your sketch label the coordinate points of each equilibrium points. Meaning, identify the x and y values of each equilibrium point.

(8 points) Use the below system to answer the following questions. x′ = 2x(1 − x2) − xy y′ = 3y(1 − y3) − 2xy (a) Identify the equations of the Nullclines of the system. (b) Sketch an accurate graph of the Nullclinces of the system. (c) On your sketch label the coordinate points of each equilibrium points. Meaning, identify the x and y values of each equilibrium point.

Image text
  1. (8 points) Use the below system to answer the following questions.
x ′ = 2 x ( 1 − x 2 ) − x y y ′ = 3 y ( 1 − y 3 ) − 2 x y
(a) Identify the equations of the Nullclines of the system. (b) Sketch an accurate graph of the Nullclinces of the system. (c) On your sketch label the coordinate points of each equilibrium points. Meaning, identify the x and y values of each equilibrium point.

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Consider the following function. f(x) = (sin⁡(x))sin⁡(x) (a) Graph the function. (b) Explain the shape of the graph by computing the limit as x→0+. limx→0+ f(x) = (c) Use calculus to find the exact maximum and minimum values of f(x). (If an answer does not exist, enter DNE.) (d) Use a computer algebra system to compute f′′. Then use a graph of f′′ to estimate the x-coordinates of the inflection points. (Round your answer to two decimal places.) smaller value x = larger value x =
Solution
0 0

Use your knowledge of eigenvalues and eigenvectors to answer the following questions. (a) (5 points) Find the eigenvalues and corresponding eigenvectors of the following matrix. (2 7 −1 −6) (b) (5 points) Consider the system y′ = (−15 −18 9 12)y It has eigenvalues/vectors of λ1 = −6, v1 = (−2 1) and λ2 = 3, v2 = (1 −1). What is the general solution for this system?
Solution
0 0

Use your knowledge of equilibria of systems to answer the following questions. (a) (2 points) Consider the system x′ = (−1 2 −5 0)x Classify the equilibrium point x = (0, 0) as a node/spiral, sink/source, saddle point or center. (b) (2 points) Consider the system z′ = (3 1 −1 3)z Classify the equilibrium point z = (0, 0) as a node/spiral, sink/source, saddle point or center.
Solution
0 0