Phase Plane - Example 1

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In this video we draw a phase plane corresponding to the solution to a 2 dimensional differential equations. We find the eigen values and eigne vectors for the equations, give a general solution and then draw the phase plane diagram.
  1. SolveandGo
  2. Differential Equations
  3. Phase Plane
  4. Eigen Vectors
  5. Eigen Values
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Комментарии
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Did anybody get small sound disturbance in the video? At like the most important time, damn it

Farisss
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there is a mistake here.
3x1 - 2x2 is correct. (in the video it is 3x1 - 2x1)

alibaradaran
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This is really perfect lesson, may i add something about eigenvector A-^I should equal zero, and the first eigenvector can be different replace ( 2, 1) you can take (4, 2)  or any value can satisfy the equation x1=2 X2  so if you give X1=6 then X2=3, and if you take X1=2, then X2=1 as you had taken in your Example, and the same about the other eigenvector too 2X1=X2. and again thank you very much for this a video

ahmad
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Got a slight problem. When you multiply out Ax to show what x' means, is it supposed to be 3x1-2x"2" for x1' (correction in quotes)? In video, at 5:40.

woolywarriorGod
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can you please proceed in showing how to draw the solution as in the graphs of x against t? That would really help! Thanks!

ongkaiye
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why didnt he add the other 2 parts on the rhs and lfs of the lines

SoloPro
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I found this very useful. I went on your channel and could not see anymore examples.

MsBodzin
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please, i need explanation on how to get fixed points of tinkberbell map and bogdanov map.
thanks

adewuyiquadri
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Hello, If I were the teacher, I would do full proper working, using appropriate symbols for matrix row operations. In addition, please use brackets for matrices, as it is the proper way of writing them. Full proper working is needed. Your notation is absolute trash when you write the differential equation. How in the world did x2 just turn into x1? You must have learned alchemy when you were young because you clearly have a knack for changing variables without any conditions. I enjoyed this video.

haydyplays