Exercise
https://texercises.com/exercise/eigenvalues/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
A system of linear differential s is given by * pmatrix dot x dot y pmatrix pmatrix & - & pmatrix pmatrix x y pmatrix Calculate the eigenvalues and sketch the phase portrait near the fixed po of the system.

Solution:
The trace and determinant of the system are tau + Delta - - It follows for the eigenvalues lambda_ fractau pm sqrttau^-Delta frac pm sqrt^ - frac pm sqrt- frac pm i pm i This corresponds to an unstable spiral. center includegraphicswidthcm#image_path:unstablspiral-# center
Report An Error
You are on texercises.com.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
A system of linear differential s is given by * pmatrix dot x dot y pmatrix pmatrix & - & pmatrix pmatrix x y pmatrix Calculate the eigenvalues and sketch the phase portrait near the fixed po of the system.

Solution:
The trace and determinant of the system are tau + Delta - - It follows for the eigenvalues lambda_ fractau pm sqrttau^-Delta frac pm sqrt^ - frac pm sqrt- frac pm i pm i This corresponds to an unstable spiral. center includegraphicswidthcm#image_path:unstablspiral-# center
Contained in these collections:

Attributes & Decorations
Branches
Differential equations
Tags
eigenvalue, phase portrait
Content image
Difficulty
(2, default)
Points
6 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration