I greatly appreciate how simply and well laid out your explanation is. Between this poorly written part of the textbook and my professor who does not care about the quality of their explanation, solving exact D.E. seemed like a magical process.
The basic idea of this method concerns the chain rule. Under the assumed conditions of exactness, start with F(x,y) = c with c a constant and y = y(x) then differentiate both sides with respect to x and compare with your original ODE to form two basic PDEs. Solve the PDEs to form your F and you're done! There is no problem in speaking of, say, an integral of G(x,y) with respect to x.
You, sir are awesome. Not only you upload a lot of helpful videos to youtube, but also write a book AND leave it free of charge. I have 2 parts of applied differential calculus which i didnt understand and know in 10 minutes i understand both. Thanks a lot.
omg.. I seriously i had to go back to find out what a integral was again and watch a video how to do it lol. so its like anti-derivative? this was an extraordinary simplified video and helped a ton.
@Pragna Posipo If you are asking what those mean (for others who might have the same question), M sub y means the 'the partial derivative of function M with respect to y.' So treat anything that is not y as a constant, and take the derivative of the function as you normally would.
Thank you so much, I've learned this so fast from your last lecture, that I was able to solve this example on my own, before you. This shows how good of a lecturer you are. Keep up the amazing work.
That was awesome. The method that was taught to us by our professor is more complicated, but this is so easy when i watched this video. Keep it up! Thanks! :D
you take us through these problems step by step and make it very clear and easy to understand, thank you very much! you saved a lot of asses with this video haha
When it comes to determining the unknown function h(x), g(y) or whatever you want to call it. There is an easier way which involves choosing simply one of the two functions we already know ∂f/∂x or ∂f/∂y and integrating one of them with respect to either x or y depending which one you chose (x for f_x and y for f_y). Then you differentiate that with respect to the other variable which allows you to set it equal to ∂f/∂x or ∂f/∂y from earlier and then you can simply see what the unknown functions derivative must be, then you just integrate it and then you're done.
![Exact Equations [ODE]](http://i.ytimg.com/vi/pgJci5CI9n4/mqdefault.jpg)
Thank you very much for your clear explanation.
I greatly appreciate how simply and well laid out your explanation is. Between this poorly written part of the textbook and my professor who does not care about the quality of their explanation, solving exact D.E. seemed like a magical process.
By far the best explanation of exact equations on RUclips.
The basic idea of this method concerns the chain rule. Under the assumed conditions of exactness, start with F(x,y) = c with c a constant and y = y(x) then differentiate both sides with respect to x and compare with your original ODE to form two basic PDEs. Solve the PDEs to form your F and you're done!
There is no problem in speaking of, say, an integral of G(x,y) with respect to x.
You, sir are awesome. Not only you upload a lot of helpful videos to youtube, but also write a book AND leave it free of charge. I have 2 parts of applied differential calculus which i didnt understand and know in 10 minutes i understand both. Thanks a lot.
Thanks! This has helped me so much, and is much better than my lecture!
My pleasure! Hope the ebook is also of some use (more ODE examples therein), the link is in the description.
omg.. I seriously i had to go back to find out what a integral was again and watch a video how to do it lol. so its like anti-derivative? this was an extraordinary simplified video and helped a ton.
@Pragna Posipo If you are asking what those mean (for others who might have the same question), M sub y means the 'the partial derivative of function M with respect to y.' So treat anything that is not y as a constant, and take the derivative of the function as you normally would.
you are a life save THANK YOU God bless
you made it easier to understand.
Thank you so much, I've learned this so fast from your last lecture, that I was able to solve this example on my own, before you. This shows how good of a lecturer you are. Keep up the amazing work.
That was awesome. The method that was taught to us by our professor is more complicated, but this is so easy when i watched this video. Keep it up! Thanks! :D
you take us through these problems step by step and make it very clear and easy to understand, thank you very much! you saved a lot of asses with this video haha
When it comes to determining the unknown function h(x), g(y) or whatever you want to call it. There is an easier way which involves choosing simply one of the two functions we already know ∂f/∂x or ∂f/∂y and integrating one of them with respect to either x or y depending which one you chose (x for f_x and y for f_y). Then you differentiate that with respect to the other variable which allows you to set it equal to ∂f/∂x or ∂f/∂y from earlier and then you can simply see what the unknown functions derivative must be, then you just integrate it and then you're done.
wow you'r amazing teacher
This way is SO much easier in understanding. OMG.
perfect teaching
Where do you teach, and how can I enlist?
Thank you so much for explaining deeply. I was really confused about that topic. Now I got it.
what do you do when they are not exact but can be multiplied by a function to make them exact?
My pleasure!
How is Msub y and Nsub x written,i didn't understand ,pls anyone explain me
Love this from you Christopher
Thank you very much sir. Very well explained, you are better than a book.
Sir, can you turn on the anti-lasting?
This tutorial is quite helpful. Thank you so much !
Thanks for helping to understand the subject.
are there more lectures regarding Exact ODES since i was unable to find more than one video on the subject
best regards,
MMRK
Awesome, it has helped me a lot
Thank you!
Helpful video. Thanks Dr Tisdell.
thankyou very much sir for your good explaination,you have made me understand them clearly
love youu mannnnnn!!!!!! spent hours finding a decent solution..khan patrick all are shit u da real mvp!!
it's awesome
thanks sir
It's pretty fine but there is this question.
Why do we consider f(x,y)=c or how are we sure that function is gonna be constant?
Wow - thanks a lot!
thank you very much dr :)
Thank you sir it was very helpful
Thanks alot..That was awsome.
Well explained thank you
thanks a lot doc
This is much clearer than Khan Academy
thank you thank you thank you!
Thank you sir
Thank you very much for explaining sth my teachers all failed to explain 😊
Thanks so much 👌😌✌
integratrion of y with respect to x is 0,sice y will be taken as constant
Thankx a lot......
Thank you
Very well explained! My question is, when you integrate the partial derivatives, does it matter which function you set to be "d"F/"d"x and "d"F/"d"y?
No because they are equal
Great
Nice
12 años atrás ...wow
Thanks sir
You are welcome Sanna!
It is my pleasure.
thanks
this good .... جيد
Thanque
Thanks Dr . you are the Best :D
Job's a good un... Cheers Doc :)
you write your "x"s funny :)
:-)
;-)