MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Differential Equations
Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…
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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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Transcribed Image Text: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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