sketching phase portraits

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sketching phase portraits
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Wonderful explanation and much simpler than what I have been taught by my lecturer.

FJDoolan
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Not all heroes wear capes! Unless you're wearing a cape, are you?

SweetAlexMore
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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.

KeepCalmSoldierOn
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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.

ZevHoover
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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

logansateia
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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<A12 so it's clockwise, and thank you for this video.

beshiralhomsi
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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.

AlbertEsquer
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You've made it so much simpler, now I get it. Thank you!

aizhigitmamatov
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this is the most clear explanation of phase potraits ive encountered thank you!

AshlayisUhmazing
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take a bow professor!, not many professors can share knowledge in such a lucid manner. Thank you.

rupayanjana
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YOU ARE AMAZING!!! FROM AN ENGINEER AT UCLA, this topic was confusing, but your video made everything clear! THANKS <3

JMayaHern
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Exam in two days including this little bit and you just explained it so simply and plainly. Thanks a lot Ellie :)

thenozar
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Thank you for showing all the different types of phase portraits!! Super helpful!

tatchip
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Hands




best video. I've watched it multiple times while studying for my Diff Eq final

HockeyMan-kdyj
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thank you! this is so much more simpler and easier to understand than just reading textbooks/listening to lecturers. Keep sharing your gift!

ichigo
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this was actually one of the best DE videos on this topic i've found

FullCircle
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Best explanation of phase portraits I've seen online, great video

wippedcream
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This is genuinely the best video on the internet thank you so much this has saved me immensely

shadin
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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!

DaGreenSift
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At 16:55 the spiral should be counterclockwise, as the -2 down to -3 shows anti-clockwise sign and rest is fine...these lectures are treat to watch!!!!

SuhailAhmadGanie-uz