As per the problem, when we equate the equation to 0, the roots are (0,0) and (-2,0). Please try solving again. If you still have a doubt, let us know.
Which value we will take of x1 (-2) or 0 while finding determinant of matrix in the end?? You took x1 as -2 for finding determinant...can we take 0 too?
I'm sorry, but regarding the mapping from z to x plane, that explanation is beyond the scope of this course. I suggest you refer to some good maths textbook on 'Mapping' :)
can you enable auto subtitles like other videos? it's so hard for people that English is considered a foreign language to them to keep up with what you're saying :'(
These are the points(equilibrium points) at which state equations becomes zero. So, to obtain these values, just equate the state equations to zero and solve for x1 & x2. Here in this question, equating state equations to zero, we get x2 = 0. Substituting that in the other equation gives you two values of x1 where the equation is zero. And we can simply write equilibrium points as (x1, x2).
Thank you:) I have obtained the equilibrium point at 10:28 which I have substituted in 15:05 and found the determinant. This is equated to zero and the points 1.19 and -1.69 is obtained. If you still have a doubt, please watch from 9:33.
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Zabardast... You are a gem sir.... Thanks for this nice lecture.... Every point is crystal clear....❤
Thanks and welcome!
A great contribution, you help many people!!
Glad to hear that :)
Top video. Appreciate your efforts!
Thank you for you kind words. It really means a lot to us :)
Just too good!! ❤
Thank you :)
I feel so calm with this music :)
Glad to hear that :)
Very well explained❤❤
Thank you :)
Thank you didi
Most welcome 😊
Great work ma. The last equation to produce the lambda values should have +2 not -2. This will affect the eigen values. Thank you all the same.
As per the problem, when we equate the equation to 0, the roots are (0,0) and (-2,0). Please try solving again. If you still have a doubt, let us know.
He's a man
1000k thanks
Thank you too!
Which value we will take of x1 (-2) or 0 while finding determinant of matrix in the end??
You took x1 as -2 for finding determinant...can we take 0 too?
I'm already taking x1=0 @12:35 :)
NIce lecture, the phase potrait for saddle point at 7:44 seems to be showing opposite direction of array. Correct me if I'm wrong.
Hello, can you tell me how do we get the directions of the phase trajectories?
You can check the sign of x' and y' at a particular point and see the direction.
@@sandeepbhatt4469 Thanks man! I passed the exam last semester hahaha
awesome explanation mam. how you are converting z-plane to x-plane. I cannot understand @ 6:03. will you please explain .
I'm sorry, but regarding the mapping from z to x plane, that explanation is beyond the scope of this course. I suggest you refer to some good maths textbook on 'Mapping' :)
I calculated the eigen vectors to be -1 and -1.5 so it should be a stable node 🥺
Can you please tell us the timestamp of the moment you are refering to?
can you enable auto subtitles like other videos?
it's so hard for people that English is considered a foreign language to them to keep up with what you're saying :'(
We will try to enable subtitles for all videos soon. As of now, please tell us which part you are facing a problem in :)
Mam how to knw the point( 00 ) nd (2 0)
These are the points(equilibrium points) at which state equations becomes zero. So, to obtain these values, just equate the state equations to zero and solve for x1 & x2.
Here in this question, equating state equations to zero, we get x2 = 0. Substituting that in the other equation gives you two values of x1 where the equation is zero. And we can simply write equilibrium points as (x1, x2).
Thnx a lot
while finding lamba value...when the pount is -2,0 what value is put in x1
You have to put x1= -2
It's my pleasure to help my viewers :)
Background music is spoiling the content...
Haha.. We were experimenting then. Hope you found the content useful though :)
@@Topperly yah it was good.. Thank you so much
Thanks for the video. I found it hard to know how u got 1.19 and -1.69. Thanks
Thank you:)
I have obtained the equilibrium point at 10:28 which I have substituted in 15:05 and found the determinant. This is equated to zero and the points 1.19 and -1.69 is obtained. If you still have a doubt, please watch from 9:33.
Use quadratic formula
Thank you didi
Most welcome 😊