Not all heroes wear capes! Unless you're wearing a cape, are you?
@kennystevens6526
3 жыл бұрын
she is, and does. Regularly in fact
@FJDoolan
8 жыл бұрын
Wonderful explanation and much simpler than what I have been taught by my lecturer.
@KeepCalmSoldierOn
3 жыл бұрын
I have a differential equations final in 18 minutes. You just explained this better than 2 TAs and 2 Professors managed to in all of my time studying. Bless you bless you bless you.
@ZevHoover
6 жыл бұрын
here is a wonderful tip to make your life easier: the matrix will be spiraling counter clockwise if the lower left value of the matrix is positive, and clockwise if it is negative.
@AceofDlamonds
6 жыл бұрын
Nice one. Thanks.
@ahmedtaha7348
5 жыл бұрын
What matrix are u talking about the original one or the one generated by the Eigenvector
@trevorcroteau1253
5 жыл бұрын
@@ahmedtaha7348 The original matrix, that is to say "A"
@seph95
4 жыл бұрын
Another way to remember if it'll spin clockwise or counterclockwise with positive/negative numbers there: Think of the unit circle. Counterclockwise is positive direction around, and clockwise is the negative direction around.
@Christian-qh5zu
4 жыл бұрын
Why does this work?
@logansateia1117
2 жыл бұрын
By far the best video on the topic I could find on the internet. I watched this when I was learning it, and now that I'm reviewing for my final tomorrow I spent a good chunk of time searching for this video specifically just because of how good it is. Thank you so much
@FaisalGAA
8 жыл бұрын
this saved my ass
@sathyathukkaram3081
8 жыл бұрын
About to save mine
@samuelrohit5506
7 жыл бұрын
even for all who are in the situation to fill papers.
@darth0vader0is
7 жыл бұрын
Yessss Lecturer aint gonna rape my ass today!!
@fivecolores5750
6 жыл бұрын
Daaamn that's me bro, tomorrow it's this frickin exam and I finally got it
@prabeshpaudel5615
3 жыл бұрын
I think it just saved my ass too. I have an exam in an hour lol
@zahramailady5808
2 ай бұрын
This is the best thing ever you are a hero you are a hero of my people
@thenozar7603
6 жыл бұрын
Exam in two days including this little bit and you just explained it so simply and plainly. Thanks a lot Ellie :)
@tat0chip462
9 жыл бұрын
Thank you for showing all the different types of phase portraits!! Super helpful!
@shadin3166
Жыл бұрын
This is genuinely the best video on the internet thank you so much this has saved me immensely
@FullCircle11
5 жыл бұрын
this was actually one of the best DE videos on this topic i've found
@ichigo2459
6 жыл бұрын
thank you! this is so much more simpler and easier to understand than just reading textbooks/listening to lecturers. Keep sharing your gift!
@wippedcream17
7 жыл бұрын
Best explanation of phase portraits I've seen online, great video
@rupayanjana6852
Жыл бұрын
take a bow professor!, not many professors can share knowledge in such a lucid manner. Thank you.
@aizhigitmamatov5214
2 жыл бұрын
You've made it so much simpler, now I get it. Thank you!
@AlbertEsquer
7 ай бұрын
Studied all day to find out how to sketch these portraits and you explained so well thank you. Im glad I found your video or I would still be lost.
@bluEish04
4 жыл бұрын
This is godsend. Thank you. I was breaking down in the middle of the night lol. So happy I found this
@beshiralhomsi5893
8 жыл бұрын
You can easily know if its clockwise or counter clockwise by observing the the matrix A , if the element A21>A12 so it''s counter clockwise and if A21
@anabrr
5 жыл бұрын
That is really cool and time saving for the exam, thank you!
@Christian-qh5zu
4 жыл бұрын
Can you explain why this works?
@shaheedvh3732
4 жыл бұрын
@@Christian-qh5zu No
@peanutbutterjelly2188
3 жыл бұрын
@@Christian-qh5zu it is related to "twist" or "shear". You know, A12 and A21 determine how a vector is twisted with respect to A12 and A21. If A12 is larger than A21 (meaning you stretch the vector "longer" in x-direction than in y-direction) what happens next is, the vector will be twisted/sheared clockwise. However, this is a special case where both A12 and A21 are positive. Can you imagine? Think of it as a parallelogram. Actually, the more formal way to define it is, if A21 - A12 < 0 then the direction is clockwise, and if A21 - A12 > 0 then the direction is counter-clockwise.
@piyalikarmakar5099
3 жыл бұрын
@@peanutbutterjelly2188 thanks
@AshlayisUhmazing
8 жыл бұрын
this is the most clear explanation of phase potraits ive encountered thank you!
@HockeyMan-kd7yj
5 жыл бұрын
Hands down..... best video. I've watched it multiple times while studying for my Diff Eq final
@alnaabd
6 жыл бұрын
WOW this suddenly makes sense after being confused for so long! thank you so much
@JMayaHern
5 жыл бұрын
YOU ARE AMAZING!!! FROM AN ENGINEER AT UCLA, this topic was confusing, but your video made everything clear! THANKS
@CJPSofficialyoutube
7 ай бұрын
The best video on this topic. I return to it all the time. Thank you so much!
@bitakianian5016
7 жыл бұрын
Oh my god! You are amazing, thank you so much!
@sivaisuba8218
6 жыл бұрын
Probably the best video I've watched on this concept! Thank you for this x
@BivekRana
5 жыл бұрын
you cannot explain sketching phase portrait in a simpler manner than this.Thank you so much.
@kush.5904
7 жыл бұрын
The video is really informative, precise to the point and really easy to understand! Thanks a lot for this, definitely one of the best ones on plotting phase plots by far! Keep up the good work :D
@hooliganSKATE
4 жыл бұрын
Oh my gosh thank you so much!! Very informative! I would be so much further in life if every teacher I ever had was like you!
@elviswisdom9365
5 жыл бұрын
I have a test tomorrow and this video made so many puzzle pieces fall in to place! Thank you for making this.
@toprakkarakaya7774
2 жыл бұрын
I spent an entire day studying on the materials of my lecturer, yet the answer was just a 20 minute video. I thank you so much
@Egonkiller
6 жыл бұрын
Ellie Blair, thank you for sharing your knowledge!! You're amazing
@benedictding
4 жыл бұрын
Excellent video with comprehensive explanation, such a life saver
@sticks366
8 жыл бұрын
Been having a hard time understanding these in class. Thanks a lot this really helped.
@littleKingSolomon
4 жыл бұрын
You just saved a life. Thanks and I love you!
@alienfunbug
8 жыл бұрын
This was SUPER helpful. Excellent upload. Thank you.
@sagartamang259
6 жыл бұрын
You are amazing, loved the way you made it so easy. Thank you so much
@respectedextreme8442
7 жыл бұрын
thnak you for this wonderful explanations, you rescued a lot of people, and drew smiles on each one of us !
@ploploprob
6 жыл бұрын
Ellie, you are amazing. Thank you so much for this video. You made this SO much simpler than my instructor could. I'm doing well in my Differential Equations and Linear Algebra course because of people like you. You rock.
@UrsulaV-qb3lw
3 ай бұрын
This was so clear and easy to follow. I am indebted to you forever.
@k_player4310
2 ай бұрын
This video is amazing and the best explanation I've gotten on the topic, thank you!
@CocoGras
8 жыл бұрын
You are awesome. Thanks so much for posting this.
@bhagyaweerasooriya182
4 жыл бұрын
Thanks for a wonderful explanation. So simple 🤩🤩
@wenyuhu3373
7 жыл бұрын
Thank you! Your explanation is very clear as well. This helps me a lot.
@savannahcheek6176
6 жыл бұрын
Seriously amazing. I learned more in those twenty minutes than I have in the last 4 weeks of class!
@asemnafiz
9 жыл бұрын
Nice, simple and straight to the point! Thanks a lot for the help.
@pigeon6939
5 жыл бұрын
way thorough than my lecturer explained, Thank you so much.
@brazhell
8 жыл бұрын
Thank for your effort. A very concrete and well structured lesson!
@yujiabing8820
5 жыл бұрын
Really great explanation! Easy to understand and includes all the possibilities may occurs.
@DaGreenSift
3 жыл бұрын
Given its the season of covid, I really appreciate this. I tried to get help from my professor on our forum board but got told to rewatch the lecture. If I understood the lecture I wouldn't need to ask for help!
@ngumtaniform5783
8 ай бұрын
The best procedure on the internet! well structured
@anoushkabhat2505
2 жыл бұрын
This is so helpful. I had trouble drawing solution curves but your explanation really helped me!
@ulrichnana9821
Жыл бұрын
just perfect 🤍
@mmA10we
Жыл бұрын
Thank you so much. This is the best explanation I’ve seen so far!
@aakashdewangan7313
2 жыл бұрын
Thanks Madam...Awesome. I like your explanation
@nesterkouam7248
6 жыл бұрын
your are the best! you were born to teach
@colorbars8564
6 жыл бұрын
Wow you're amazing at explaining things
@ava7624
Жыл бұрын
I cannot thank you enough this video was amazing
@nimeshafernando4724
3 жыл бұрын
I love this explanation Ellie. It is really good
@varisnijat1564
8 жыл бұрын
way better than my professor
@theproofessayist8441
8 жыл бұрын
My textbook is abominable at describing phase portraits, they just list one example for each phase portrait as their solving a system, not even bold letters to help the reader. I was hoping they would have an appendix page if they were saving on space but not even that.
@amitakar9620
Жыл бұрын
Ma'am, you just explained it so well 💯. I was struggling the whole day just to understand one problem given in strogartz . This video helped me a lot . Thank you ma'am ❤️
@noshinyesmin918
2 жыл бұрын
you presented in a very organized fashion. It was very helpful
@christophersoelistyo1905
6 жыл бұрын
Great! Way simpler and more intuitive than how I was taught.
@ashwingupta9347
3 жыл бұрын
life saver, much appreciation from Math 216 gang here in Ann Arbor!!!
@adrijachattopadhyay2937
7 ай бұрын
amazing explanation! such a simple way to teach differential eqns
@xuedongfan1042
4 жыл бұрын
This video is fkn so wonderful, u wont regret to watch this
@Nicole-vk8sd
3 жыл бұрын
I've watched this so many times already (preparing for my exam) , I think it's my favourite video on KZitem now haha
@amitmajumder1216
4 жыл бұрын
awesome explanation.loved it
@preritgoyal9293
3 жыл бұрын
Excellent explanation mam !! Very useful.
@jadmusic5064
3 жыл бұрын
Great video, super thorough/explains everything
@nathanx.675
5 жыл бұрын
This saved my life the day before my final. Thank you so much. Your literally superwoman!
@ct8463
Жыл бұрын
Amazing explanation!! Thank you
@nanuhk00
4 жыл бұрын
HOLY MOLY THIS IS AMAZING....THANK YOU SO MUCH!!
@venicemajora6081
8 жыл бұрын
OH MY GOD thank you so MUCH I have a midterm today and I didn't have time to study this portion last night
@selmauskuri5625
5 жыл бұрын
You're amazing! Super helpful. Thank you so much!
@luisvega8191
3 жыл бұрын
Lifesaver!!!!! THANK YOU!
@souravghosh129
2 жыл бұрын
Just wonderful and very much helpful.thanks.
@nikitadas9671
5 жыл бұрын
Not only this video helped me, the comments section was helpful too, that easy trick about focii being clockwise or anticlockwise was amazing! Thank you everyone 😍
@icee562
4 жыл бұрын
This is the best explanation on the web!
@hassanalhakeem5664
2 жыл бұрын
very clear one of the best explanation
@RakeshKumarPMA
5 жыл бұрын
really, no doubt best one lecture
@TheFinalStanza94
5 жыл бұрын
*this video came into my life at the right time*
@maewashekelcey763
8 жыл бұрын
I really appreciate this....now I can draw the phase diagrams.....
@user-co7og6sm7t
4 жыл бұрын
Very well explained, helped me a lot with my exam. Thanks!
@jeniferjanet4809
8 жыл бұрын
THANK YOU FOR SAVING MY LIFE!!!!
@joshbiju7771
6 ай бұрын
Lifesaver ig, no words😌
@sachinnegi2161
5 жыл бұрын
very well explained video. It was a great help. thankyou. From INDIA
@shahrukhzafar4545
7 жыл бұрын
Love you Ma'am.. You made it so easy :-)
@hariomkantsharma8725
2 жыл бұрын
Great video. Much easier to understand and apply. Thank you so much.
@hotmandead1
7 жыл бұрын
Thank you so much you made this sketching so simple
@hotelmasternm
Ай бұрын
For eigenvalues that are distinct but both positive or both negative, it can be hard to remember because we may start away from the origin or start at the origin. I realize now that either way, we begin parallel to the eigenvector with the smaller eigenvalue, then as the trajectory goes toward the origin or gets further away from it, we curve in the direction of the eigenvector with the larger eigenvalue. Then for repeated eigenvalues that have an improper node, we need a test point to plug into the system to determine the orientation of the trajectories being drawn away from or toward the origin. I don't see any difficulty with the purely imaginary or complex eigenvalues. It's funny how those are more clear. Thank you for clarifying all this.
@ahditah8102
6 жыл бұрын
U are amazing I cannot thank you enough
@AroundWayOther
8 жыл бұрын
Have a midterm on this in less than 4 hours. Glad I found this ! =]
@patrikbjornsson7809
7 жыл бұрын
Awesome and straight to the point, great vid
@djomgouenanaemile4697
5 жыл бұрын
Thanks for this wonderful lesson. Thanks for what you do. If I may ask ,if possible can you please post a video in which you can teach us how to draw the phase portraits for "NON LINEAR SYSTEMS"?
@coolghoul9
7 жыл бұрын
amazingly simple explanation
@abdallahallahham8586
4 жыл бұрын
So clearly explanation Thank you so much
@RocketArmadillo
6 жыл бұрын
dziękuję Pani bardzo! ratuje mi pani dupę przed egzaminem
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