Sir, I have just come across differential equations in my studies and this video has helped me tremendously breaking down and understanding exact differential equations. Moreover, the energy that you project make the video very pleasant to watch. Keep on inspiring people
Thank you Prof. Gabilondo! Your ability to connect students to the material is amazing. With your videos I have been able to jump straight into D.E. After a +6 year hiatus from any university math.
Man i wanna say big respect for how you teach! I didn't understand anything about DE before I came and saw your videos. You are awesome and should get more recognition.
may god bless you... im one of the few in my class who didn't take multivariable calc before taking DE and so i'm having to learn martices, partial derivatives, and some other things like notation on top of trying to understand the concepts. it doesn't help that my professor isn't the best at lecturing and is really disorganized, plus she doesn't really articulate the importance/significance of some of the derived equations or really give us any clear concise definitions or explanations of the concepts at all. thank you thank you thank you i could cry
Thank you so much for posting the video and for the amazing lesson professor! You can't imagine how helpful and beneficial it is! I was zero at D.E. before, but now I am sooo good at it and it is by your assistance! Best wishes!
Oh, I wish you would be my professor. I''m in my second year physics, and I learned more during this one video than throughout my whole semester. ( And I even enjoyed it haha ). Thank you
The reason it's stated for a rectangle is that's the simplest simply connected domain- a disk works too- but a punctured disk fails- example a rotational field. Rot = 0 but not exact, and the line integral around a circle is 2 pi. Poincare's theorem says curl 0 over a simply connected domain is exact.
The only part I'm confused about is when we take the partial derivatives of M (w/ respect to x) and N (w/ respect to y), how come we can write the repeated term just once? For example at 33:12. How do we show that they are the same (cosxsiny) and not 2 instances of the term. For example: why is the answer not -ln|cosx| + 2(cosxsiny)=C? Hope that makes sense. I'm confused about how we can know they are the same. I tried using algebra and systems of equations to show it, but it just ended up being kinda circular and bringing me back to having the term in both g(y) and h(x). UPDATE: I figured it out by watching some of the other videos the Math Sorcerer has on exact DE's :D
If M is the partial derivative of f with respect to x and N is the partial derivative of the same f with respect to y, then the partial derivatives of M and N with respect to the other variable are both the same mixed second order derivative of f. (It can be shown that taking the partial with respect to x and then with respect to y is the same as doing it the other way around.)
At 22:40 he integrates the partial derivatives but doesn't explain whyvthere is a '+' between the 2 partial derivatives but an '=' between the 2 integrals??? Then he replaces the '=' with the '+' again.
Hey man! I've taken Differential Equations and analysis I & II. I wanna go through a more theory heavy book. Any recommendations for a good rigerous ordinary differential equations book? I was thinking ordinary differential equations by Arnol'd
Hmm not sure , I have tons of solved problems here though check out my other differential equations playlists. You could also get a book, the one by Zill has problems like the ones in these lectures👍
![Exact Equations [ODE]](http://i.ytimg.com/vi/pgJci5CI9n4/mqdefault.jpg)
Sir, I have just come across differential equations in my studies and this video has helped me tremendously breaking down and understanding exact differential equations. Moreover, the energy that you project make the video very pleasant to watch. Keep on inspiring people
Modern day Sir Issac Newton ! Thanks for posting this amazing lecture!!
You are welcome!
Man, this prof.'s class looks fun! Its nice to have these videos, that make the concepts easy to understand and remember
Best channel in history
Thank you!
Thank you Prof. Gabilondo! Your ability to connect students to the material is amazing. With your videos I have been able to jump straight into D.E. After a +6 year hiatus from any university math.
you sir are the only reason I will pass My DE class this online semester.
👍
Man i wanna say big respect for how you teach! I didn't understand anything about DE before I came and saw your videos. You are awesome and should get more recognition.
Awesome!!
This is amazing, amusing and very educational. I am always happy to attend these recorded classed.
Thank you for these videos. they have helped make up for lazy professors during this time.
You have the best method of teaching. Thank you very much for what you do.
Super clear descriptive and to the point. Thank you very much, you are a great math teacher
Thank you
@@TheMathSorcerer my pleasure 🙏🙏
may god bless you... im one of the few in my class who didn't take multivariable calc before taking DE and so i'm having to learn martices, partial derivatives, and some other things like notation on top of trying to understand the concepts. it doesn't help that my professor isn't the best at lecturing and is really disorganized, plus she doesn't really articulate the importance/significance of some of the derived equations or really give us any clear concise definitions or explanations of the concepts at all. thank you thank you thank you i could cry
Thank you so much professor! You're the reason why ill be passing this class :)
👍
Watching your 4th video in a single day you sense of humor and enthusiasm made you a celebrity to also love math😅
I love math lectures... Like I watch them in my spare time... This lecture is epic. I wish i was on a chalk board though.
Thank you so much for posting the video and for the amazing lesson professor! You can't imagine how helpful and beneficial it is! I was zero at D.E. before, but now I am sooo good at it and it is by your assistance! Best wishes!
You're very welcome!
I ENJOY YOUR ONLINE LECTURES. NOTHING BUT LOVE FOR YOU.
I love when you clean the board with your Hand 😂😂
ROFL
Oh, I wish you would be my professor. I''m in my second year physics, and I learned more during this one video than throughout my whole semester. ( And I even enjoyed it haha ). Thank you
Thank you so so much Math Sorcerer for these videos
You deserve more subscribers!
Best lecture of my life
Thx man
The reason it's stated for a rectangle is that's the simplest simply connected domain- a disk works too- but a punctured disk fails-
example a rotational field. Rot = 0 but not exact, and the line integral around a circle is 2 pi. Poincare's theorem says
curl 0 over a simply connected domain is exact.
I missed class today, thank you for catching me up
best tutor .....
to be or not to be exact , that is the question 18:02
love the energy at 19:34
You are awesome, dude!
You're a lifesaver 🙏
Straight up math hero.
Thanks man
can anyone explain why the sign of the x^3y^3dy does not change in the last question when it is trnaferred to the other side in the equation
Never before heard "hangs out" as a maths term. I'm really enjoying and understanding this video. What level is this course?
Wish ive seen this before turning in my hw on this section
great hard work
is there any chance to have his notes and homework?
I have my notes but they are handwritten
@@TheMathSorcerer that's okay, can you send it to me
mahdi.mohsen.n@gmail.com
thank you :)
easy!! thank you prof!!
The only part I'm confused about is when we take the partial derivatives of M (w/ respect to x) and N (w/ respect to y), how come we can write the repeated term just once? For example at 33:12. How do we show that they are the same (cosxsiny) and not 2 instances of the term. For example: why is the answer not -ln|cosx| + 2(cosxsiny)=C? Hope that makes sense. I'm confused about how we can know they are the same. I tried using algebra and systems of equations to show it, but it just ended up being kinda circular and bringing me back to having the term in both g(y) and h(x).
UPDATE: I figured it out by watching some of the other videos the Math Sorcerer has on exact DE's :D
Can you explain why so ? I had same question as you
Awesome lecture!
Thank you!!
Whats the logic behind the condition which tells you whether it's an exact DE?
If M is the partial derivative of f with respect to x and N is the partial derivative of the same f with respect to y, then the partial derivatives of M and N with respect to the other variable are both the same mixed second order derivative of f. (It can be shown that taking the partial with respect to x and then with respect to y is the same as doing it the other way around.)
I wish I had a math professor like Math Sorcerer
What kind of sorcery is this?!?! 🤯🤯🤯 this is awesome!!!
Hehe
Wow Sir great
Big ups wizzy
Do you have your notes posted online? I would like a copy. Also, what is the book you're using? Thank you.
I really want to watch this but all the camera movement makes me nauseous, please rerecord with the camera still it's very hard to watch
At 22:40 he integrates the partial derivatives but doesn't explain whyvthere is a '+' between the 2 partial derivatives but an '=' between the 2 integrals??? Then he replaces the '=' with the '+' again.
It is true that every separable first order in the form of dy/dx=g(x) h(y) is exact???? How can I prove though?
Hey man! I've taken Differential Equations and analysis I & II. I wanna go through a more theory heavy book. Any recommendations for a good rigerous ordinary differential equations book? I was thinking ordinary differential equations by Arnol'd
Yes that is an excellent choice!
This channel won’t get effected if they added the dislike function again. Thanks man
Does there exist a website with differential equations so I can train to solve them?
Hmm not sure , I have tons of solved problems here though check out my other differential equations playlists. You could also get a book, the one by Zill has problems like the ones in these lectures👍
yesssssss
❤❤❤💗💗💗💗
I Want to learn from you as face by face
Diamond don't know it's worth
Now it's a Party !!!!!!
bro is HIM
30:45
lmao
You made me click ❤️
:)
:)
Take my degree. You deserve it.
Are you Jeff Bezos' brother?