Consider the non-linear differential equation* =- x + y - 1ý = 2x + x3.Draw the nullclines and a qualitative phase portrait for the non-linear system.Indicate the stable and unstable manifold.

Answered: Consider the non-linear differential…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the non-linear differential equation
* =- x + y - 1
ý = 2x + x3.
Draw the nullclines and a qualitative phase portrait for the non-linear system.
Indicate the stable and unstable manifold.

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Regression Analysis:

Regression analysis helps to estimate the changes when dependent variable change when one or more independent variable changes due to some factor. The formula to calculate the regression analysis is Y=a+bX+E. Here Y is the independent variable and X is the dependent Variable and E is the error term.

Non-linear equations contains more equations, at least one non-linear equation will be there in the overall equations. In that case, we need to solve the linear equation first and then the results of the linear equations should be substitute with the non-linear equation to get a new result. This process is know as non-linear equation.

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