Almost Exact Differential equation & special integrating factor (introduction & example)

Differential equation tutorial on solving "almost exact" differential equations and special integrating factors. For more calculus and differential equation tutorials, subscribe to ‪@bprpcalculusbasics‬
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[@soot5676]

you are more important than my prof.

[@AbiRizky]

I have no idea what you were doing since the one minute mark but I kept watching anyway because you're awesome.

[@blackpenredpen]

Abi Rizky thank you!!

[@alias40anon]

This is the best explanation I have reached so far for the specific subject and I have an exam on differential equations as an engineering major in 2 days. You sir it is not that you helped me a lot but you really nailed it in a simple and very concise way

[@blackpenredpen]

alias40anon i am very glad to hear this. Best wish for your exam

[@emlmm88]

An excellent explanation of one of the most difficult concepts I find to grasp. Thank you so much!

[@blackpenredpen]

emlmm88 thank you. More vid will come regarding to this

[@chcknmld]

Keep practicing, it will get easier

[@heph4estus570]

no ads, comments, subscribe or whatever, just pure content and contagious love and joy. Thankyou Sir, ill be an Engineer not for long.

[@siddharthdyavanapalli4617]

you are excellent than any other lecturer in youtube site

[@blackpenredpen]

Siddharth Dyavanapalli thanks

[@abuhuraira7611]

Thank you. Now i can teach my friends special integrating factor in our group study......

[@jennguyen1338]

I have an exam about this tomorrow and I was very stressed about this topic. Seeing you explain this very well while having such a great attitude made me feel very assured and a lot less stressed. Thank you so much :')

[@baakiyakubu9131]

I have been enlightened after watching this video the idea behind special integrating factor. Thank you so much

[@SuperMrHolmes]

you had proofs and you were clear and concise. Better than many professors I've had at college, but you seem overqualified to be a professor.

[@blackpenredpen]

Thanks! I am a teacher btw.

[@mohammadzakria7642]

The students are lucky to have you ♥️

[@mohammadzakria7642]

I am kinda jealous

[@digbycrankshaft7572]

You wrote partial dy/dy instead of partial dF/dy at the end but still good. Thanks for doing what you do.

[@Treegrower]

You are a math wizard

[@blackpenredpen]

thanks

[@ryancarvalho9994]

I tried so hard to find derivation coz my clg just requires us to b able to solve irrespective of the way we do it..... Thanks a lot... Very intuitive

[@kyleairforce]

thank you so much just graduated high school and was looking to get ahead for college, and you helped me make a connection in terms of the integrating factor that I didn't have before. now that I have it finding the integrating is more concrete and easier for me. Again thank you.

[@blackpenredpen]

You're very welcome! I am glad that you find my videos helpful.

[@Azakadune]

I just wanna survive differential equations, your video here is making the confusing lecture on this make sense. Thank you.

[@aliozgul3906]

Your KZbin channel is very nice. I try derivative, integral and dif equ etc. some times to post plenty of sample question with solutions on my youtube channel in this fields. I take your work as an example. good works!.

[@alejorabirog1679]

You are a great teacher

[@dalilarobledodebasabe191]

Excellent. Thank you very much!!!

[@blackpenredpen]

You're welcome

[@lecturemaniaalp]

Great explanation! Thank you. I love smiling lecturers :)

[@michaelromefelt762]

thank you very very much but mind turning the music down little...ps thank you thank you thank you for every video

[@dscruiter]

If x = 0 is a solution to the equation that you wrote at the beginning. I don't think you're allowed to divide by x^3, since that would be dividing by 0?

[@discoverzen9459]

Its funny how you can see where the "special" end and integrating factor kicks in!!

[@abdkelanii]

Thanks

[@prathamsinghaniya6421]

Sir we can do this question directly If we look carefully at the question we'll get the exact differential d(x⁴siny)+ 6x²dx = 0 Now integrate

[@inbisqtpervez3473]

thankyou u have helped me alot

[@ibrahimhossain2138]

when should i use this special integrating factor?

[@nicholasleclerc1583]

7:35 Hey wait, shouldn’t we set the left-hand side equal to the NEGATIVE of the right-hand side you just wrote ? 13:27 Oh, ok I get it now (because it can be +/-)

[@NickBailuc]

it also doesnt matter because zero cannot be negative (nor positive)

[@hmw818]

thank you for this! helped a lot :)

[@darcash1738]

So this will always result in being multiplied only by one function of x or one function of y. What about when it’s both? One particular instance of this would be when someone multiplied it by x^-a y^-b. You’d have to add a to each x term and b to each y term after doing the partial derivatives and set each expression that has the same x and y powers to match their coefficients to solve for a and b. Pretty much, what would we do if it is multiplied by more than just one function? Divide and hope for the best, or perhaps find some particular insight some other way? The x^a and y^b was some easy one I just came up rn but I can imagine there are all sorts of things you can do to mess w those exact equations 😂

[@FrankStJohn-xw2wu]

THANK YOU!

[@MrSuperpoder]

Thank you kind sir

[@GaryTugan]

Video - background music = Excellent. Video + music = 😥

[@manavchaudhary4940]

I know it's too late to ask a doubt about this concept relative to the upload date but can we consider any equation as an almost exact derivative equation or it have to be only in the form of (constant × partial derivative of m wrt to y = partial derivative of n wrt to x)

[@jyotsanabenpanchal7271]

Amazing 🤩

[@bentilsontube3547]

So would this mean that we may use any integrating factor, regardless of chosen variable that the mu should be a function of?

[@holyshit922]

We can make it linear by substitution u(x)=sin(y(x))

[@tomatrix7525]

Yes, but that is not necessarily very helpful, it may only minorly simplify

[@holyshit922]

@@tomatrix7525 First order linear equation can be also solved using variation of parameters so we can solve it before exact equation is introduced to us. Suggested by the title didnt check that he start with exact equation

[@Maraq369]

Can the formula be used here to make this exact? (xy+1)ydx-xdy=0

[@ayylmao1132]

when l click on differential equations playlist it says it does't exist

[@ravisharaghavan8010]

Subscribed

[@ashishkumarsharma1323]

thanks a lot! but is that the device used in the Netflix series "DARK" for time travel? lol

[@lesegomokgabudi5798]

Thanks bro

[@jorgecologico6289]

can you solve (x^2-y^2)dx-(2y^2/x)dy=0. I've tried everything without success

[@elenaasi3960]

Such an amazing explanation.But what if the integral of the integrating factor doesn't become some sort of ln? I got e^((ln1+y^2)-arctany) in a problem.

[@ashishkumarsharma1323]

what was the original equation?

[@victormavika9168]

Good JoB! do more videos in DFQ

[@blackpenredpen]

victor mavika91 will do. My spring semester starts next week and will have more videos for you guys

[@kamalhassanmehar6440]

Find an integrating factor & solution,[(4x³+3y)/y²]dx+[(3x+4y³)/y²]dy=0 much complicated differential equation please solve? I will be waiting for your reply?

[@sepm7356]

so you're special integrating factor can either be Mu(x) or Mu(y) and not both?

[@mike11022]

In general Mu is a function of x AND y. But in that case, Mu is harder/extremely hard/impossible to find. There is a partial differential relationship that Mu(x,y) must satisfy, which can be used to guess Mu, but there isn't an explicit formula for Mu.

[@elmikhan2278]

Is this not equal to 1÷x^3🤔 b/c I have been watching other vedios

[@D_P279]

Hey bro are you phd in mathematics..?

[@ivansolis5513]

I have a question , are you study math at MIT or engineering ?

[@narutosaga12]

he studied at Berkeley

[@bluebloo5574]

love u

[@drhf1214]

awesome!

[@blackpenredpen]

Nicole O thank you

[@jeffersonkho6270]

Sir, Is this the same with x^m y^n integrating factor?

[@ashishkumarsharma1323]

yes. but this is much easier if you practise enough. I wud not recommend using that xm and ny method during an exam.

[@alexting827]

what if the integrating factor is a function of x *and* y?

[@alexting827]

@@amaankazi6406 Nope. Hahaha

[@alexting827]

@@amaankazi6406 Hahaha, basically everyone says IT'S TOO COMPLICATED SO STOP THINKING ABOUT IT. Lol

[@debunkthejunk1]

14:37 - A what?

[@ashishkumarsharma1323]

formula

[@debunkthejunk1]

@@ashishkumarsharma1323 lol, yep I can hear it now. I passed the class anyways.

[@ashishkumarsharma1323]

@@debunkthejunk1 congrats. Which course and country ya from?

[@ashishkumarsharma1323]

If ya dont mind tellin me

[@debunkthejunk1]

@@ashishkumarsharma1323 Differential Equations. I'm from Canada. I used BPD videos for Calculus 1,2 and DE. He makes great videos.

[@rickybrambila9646]

Those crips and their blue markers messing things up

[@helloitsme7553]

19:43 yup dy/dy 😂

[@einsteingonzalez4336]

+blackpenredpen What is the exact value for sin(pi/7)?

[@BalaMurugan-hk2gd]

I think it's a linear differential equation

[@NoNameAtAll2]

those kids from the intro are teenagers now...

[@nofalgadimli6278]

Explanation is great but background music is pissing me of............. :(

[@Nazliorcam]

The background music is really distracting, pls do not add it

[@denillaz]

u are such a cute person

[@tomatrix7525]

Steve, are you god?

[@lloydgush]

Ohh, that werid ball mic again!

[@blackpenredpen]

lloydgush lol

[@abdshbli7827]

Isn't that imazing

[@lukasnitsch8641]

did you just divide by x³ and then, after 15 minutes of maths found out that multiplying by x³ reverses it?

[@amrmohamed6207]

he was explainig what is th integrating factor and how can u get it ... he knew it will be the same

[@Astromega_]

almos' eksyact)

[@alikarar322]

rely thanks pro it help me alot