Integrating factors 2

Now that we've made the equation exact, let's solve it!

Category:

Education

Tags:

• integrating
• factor
• exact
• differential
• equations

[SweetMusic223]

I understand this much better. Thanks! :D :D :D

[ARosen75]

These videos are incredible and extremely helpful to the aspiring mind. Thank you for taking the time out to do these! Your work is much appreciated.

[BannedLol4l]

is there an integrating factor for any such equation? I tried with more complicated M(x,y) and N(x,y), but then you have to assume mu is u(x,y). And then the equation to solve for u(x,y) becomes super complicated and I don't see how you can solve it...

[fbtyube]

@SweetMusic223 very much so :))

[StoneFlange]

I was good until 5:35...... He said Psi = x^3 + 0.5*x^2y^2 and then he said the d(Psi)/dx is equal to the entire original equation... that makes no sense!

d(Psi)/dx does NOT equal x^3 + 0.5*x^2y^2 + x^2 + xy... HELP!!!!

[Belem809]

thanks for the vid!!! I`m learning this topic now and I think in my lectures it was mentioned that multiplying be an integrating factor can also change and give false solution, that means it can give solutions which are not solutions of the original equation. Please correct me if I`m wrong

[TennisGvy]

For this topic I think that the MIT lectures are a bit better.

[SuperPigFat]

Hey - are integrating factors unique for each exact equation? Khan mentions we could have made the integrating factor a function of x, but also of y, or x,y.

[Pastafarealist]

I'm sorry Khan, but your videos cause me great anger. No, it's not because of your clear-cut explanations and intuition of why things work... I just feel angry knowing that it is possible to explain this subject in a way as you have managed when there are teachers like mine who couldn't make a single video like the ones you've made even if their life, family, and humongous egos depended upon it.

[brco2003]

Great! Please do a video that summarizes the method with the equation Ny-Mx/M

[MistryWho]

Thanks man!

do u have a tablet or are you using a mouse? because is pretty good mouse writing if it is.