Exact differential equation (introduction & example)

[@SuperWhizy]

The way you tied together the calc 1 and calc 3 methods with how to go about solving an exact differential equation is world class. Thank you. Keep up the great work!

[@yuechen2421]

This is the best video about differential equation I have never seen.....

[@blackpenredpen]

thanks!

[@malkamanuranga]

I founded the solutions for my questions. Thank you sir

[@aresbishop8405]

i guess it's kinda randomly asking but do anyone know of a good site to stream newly released movies online ?

[@jonahmarc5153]

@Ares Bishop Try Flixzone. You can find it by googling =)

[@eros2024]

Glaze

[@Playboyy1985]

Underrated youtuber....thanks for the help

[@blackpenredpen]

Frank Champion thank you 😊

[@Linaiz]

The choice of music is spot on. Yes, the explanation is amazing, but the music makes it seem even more accessible as it suggests "This stuff is not that hard, you can understand it, be optimistic!". The self confidence aspect is really big when it comes to staying motivated while studying. I love your videos!

[@S..u..n..i..l]

exactly broooooo. spot on explaination

[@lyzhng]

This video was really helpful to me. Unlike other KZbin videos, you actually explain the concept behind it and I've been looking for a video like that everywhere! Thanks for uploading!

[@blackpenredpen]

Lily Zhong you're welcome Lily. I am glad that you found my video helpful.

[@blackpenredpen]

How to solve exact equations!

[@roaahedaya1779]

I have searched alot to figure what why exact diffrential equations work 😄 until I finally found this video.It's so amazing

[@alejorabirog1679]

Man, i love your videos. Don't stop.

[@blackpenredpen]

Thanks!

[@alexramirez5104]

Your videos are helping me a ton for my Diff Eq class, thanks for all the time you put into them! It is much appreciated.

[@Razzer_racer]

Your intros are the best on youtube, hands down

[@awk30lb]

Im ME major and you really help me relate unlike a professor can. great job, you are helping us all :)

[@Kadoatie]

this one video taught me a concept that i did not understand whatsoever, despite my teacher going over it and reviewing it for 3 days. thank you very much for making these videos.

[@kummer45]

This man teaches better than many High END profile teachers on those Ivory League Universities. Yes those are top researchers but teaching should be as good as research. Besides all of these theorems deserves a nice Proof. There could be a series of videos proving all these theorems and derivations.

[@burningoyster]

Taking calculus for the third time already, I finally get it now thank you! Should have found your videos the first time

[@cliffordwilliams9597]

I am taking Thermodynamics this year without having taken Calc 3, this saved me from tears, thank you so much!

[@YoonGim2023]

I actually did not believe it would be good, but it was the best. 19 min was totally worth it

[@HettyPatel]

Thanks my guy! you and Professor Leonard have saved me soo much frustration!

[@athletics9068]

Thanks man, helped a lot. Do not stop with the videos.Good explanation, thanks

[@blackpenredpen]

You're welcome!!

[@SuperDreamliner787]

This is a very nice prep for my next semester :)

[@blackpenredpen]

SuperDreamliner787 glad to hear! I am also preparing for next semester, let's see how many I can do this winter

[@Mark-mz6ez]

this dude deserves more subscribers

[@captainxyz8]

Very nice videos. I really appreciate you starting discussions from the very root of the concept. Keep up!

[@JJ_san]

You are a very good teacher. You think about how to explained it so that it connects to everything we have learn so that we can better relate and understand. Great job!

[@davinshy0143]

The best teacher ever

[@Henrikos94]

have I ever told you I love you?

[@blackpenredpen]

No yet. But now I know! Thank you~!

[@zzwag]

I'm learning about exact equations after my first test, this will be a good video to watch! Thanks alot BPRP!!!!

[@blackpenredpen]

You're welcome!

[@jayc3861]

OHHHHH. Thank you, for giving me hope as I continue on and the exam looms closer and closer.

[@peradies7044]

This is the only video which actually made me understand

[@TheLe016]

You sir, are a gentleman, and a scholar! And you have my thanks!

[@muhammadaniqqawiemmohamads6552]

the best video i have ever seen serious talk

[@a.akhrif1492]

I like how you sepeate the X world from the Y world. Great as always!

[@aryaveer7500]

you deserve a million subs sir

[@weekendfriday22]

i literally self studying myself for next semesters and now i ace the class for de thanks you so much

[@ChefSalad]

They're called exact equations because the total differential is also called the exact differential. It's exact because everything adds to a constant. The actual idea behind exact DE's is that there are two independent variables and no dependent variables, hence F being constant. This means that dF is always zero, but dx and dy are always changing but add up to zero exactly. When bprp did the calc one differentiation, he should have implicitly differentiated with respect to t, as if t was the independent variable, and then asked, "What's this t? I don't see any t's. I know that x and y are supposed to be functions of t, BUUUT, what if there was no t?" Then you multiply by dt to get rid of the dt's and, bam, an exact equation.

[@Tyler.the.contentcreator]

THANK YOU SO MUCH for making this video, you made Exact DEs make so much sense!

[@jonty3551]

I love the way u said "total" at 6:26

[@natealter7932]

currently a first year uni student cramming and you've saved my ass, great vid !!!

[@rajeewprasath7879]

I love the way you teach.

[@anthonyvincentsukkar8047]

This guy is such a beast

[@chrisrybak4961]

Wow, Excellent video. It makes it all so approachable. Thanks!

[@sp00dery]

This man is saving me in college

[@IonKno-pb4di]

May God grant you countless blessings

[@blackpenredpen]

@@IonKno-pb4di thank you! Best wishes to you, too!

[@kangqin]

Learnt a lot. It is like how we apply this to find the stream function or potential function in potential flow theory.

[@Ron-pe4bp]

Your videos are always excellent. I suggest: those viewers that want music can put some on. But not if you do.

[@meepishi]

such an adorable host who explains so well !

[@LugardAbajei]

I need to get in touch with this lecturer

[@deiwiddecker9650]

Great job! Rapid and very well explained.

[@mortezanaghavimoghadam8258]

Thanks. Your video makes me understand the topic very well

[@can.slaughter]

The world needs an ASMR version of this.

[@shmkrar1153]

Thank you so much bprp!

[@ellifontanilla1520]

Amazing!! This video SHOULD HAVE MORE VIEWS. :)

[@blackpenredpen]

thanks!!!

[@holyshit922]

5:50 it could by Bernoulli where y is independent variable

[@glimpseofwonders]

Now that is very well explained. Thanks you sir ❤

[@supersonic6734]

greetings from sri lanka... good explanation

[@nusaibahhussain1060]

5:53 Calc3 method thanks so much btw :)

[@gregorsamsa9762]

wow i didn't get it during my lecture but now i do thank you

[@andrewhoban9800]

Thanks again. Your explanations are well thought through.

[@derekcano6108]

best explanation ever

[@AvatardSwag]

1:26 why would you use product rule if you're differentiating with regards to x? shouldn't y^4 be treated like a constant?

[@nosiceloletsika39]

You are the best man🔥🔥🔥🔥🔥🔥

[@isobar5857]

Don't quite understand what you mean by the ' total differential.' Could you elaborate? [ ps. thanks for great videos]

[@tweetybird4755]

big fan bro

[@chaoszwc]

You're simply amazing bro

[@jessicaappiah-cy9jq]

What if after finding for their partial differentiation , both are not the same What are you going to do

[@jarikosonen4079]

In the derivative dy/dx it should be noted that x and y can have only values that are on the actual curve. How is this handled? If (x,y) coordinate value that is not on the curve is substituted to the dy/dx equation, then is that actually a derivatives that is resulted? Then derivative exists also outside the curves line?

[@gorgeousfrankie]

WOOW!The best of the best its an incredible video

[@stanyganyani1845]

this is just perfect,well explained thank you

[@johnchuma6691]

Simple and clear

[@viktorie-a]

Thank you soooooo much....🥰🥰🥰🥰🥰🥰😍😍😍😍😍😍😍😍😍😍😍😍😍😍😍 This is exact differential equationade easy

[@xolanimavuso6989]

You’re the best

[@koyephillips]

I love your video. This will save me from an impending F.

[@christinanessie4428]

Hi, I was wondering why we always put the C on the RHS?

[@richardson76]

was in the dark before this...many thanks

[@husseintarek5173]

you are the best

[@Festus2022]

Great demo. Thanks!!

[@misugijun]

very nice video. but the volume is very low. i maxed out everything but it is still hard to hear what you say. (i am using laptop speakers, maybe it's power is not good as desktop speakers)

[@Brainisthenics-sr2rq]

Awesome video 🤩🤩

[@rlf8523]

Question: in the calc 1 and calc 3 methods is y a function of x in both examples, if so does it matter weather or not the variables in a function are independant of each other or not when doing the exact equation method?

[@cosmicxistence3428]

thank you so much this makes so much sense

[@alias40anon]

Excellent job mate

[@wontpower]

Wow! I hope colleges accept my high school credit! I can't wait for Calc 3!

[@Hobbit183]

Very helpful, thanks! Have you had any plans to do some calc 3 videos?

[@Salamanca-joro]

The video should have started at 10:48

[@salymamani2794]

kind a confused; where do you get f(y) from? I thought that the integral answer includes a constant..

[@prithiviselvan4528]

How did you come up with that initial value..??

[@kingofrind373]

Thank you so much!

[@cedrickansus5428]

How can we say that it is capital F in the final answer even though it is in the partial derivative form with respect to y?

[@jyotsanabenpanchal7271]

Loved 😍🤩🤩🤩 the video!

[@omarmansour6766]

Could I know the beautiful music you used in this video?

[@wildboy700]

I got an A in Calc 3, so total differential is the way to go with me.

[@piotr4917]

Hi BPRP - a question to this video - why haven't we found Y? I mean why is that we did not finish with an equation of a form Y=f(x)+c? You started the video with one of the equation's form (the one including cos(x)) and you have finished with the same form - is it not possible to find Y in this type of equations? Or is it something entirely different that we are looking for in this type of equations?

[@uprootboredom]

In the beginning he said the equation cannot be isolated in terms of y right?

[@piotr4917]

Manan Seth Yes he did, but what is the purpouse of this kind of equations if we cannot calculate anything out of them? (Please forgive me my spelling, I have no corrector on hand)

[@uprootboredom]

Piotr S we can calculate and graph it, but probably just not by hand. And most people will probably never use equations like this in their lives but you never know when it might come in handy.

[@rohanpratapnair455]

😍😍😍wow...great explanation...!!

[@sheineysantos5459]

Asian Leonard, you are a god!

[@zoeba2385]

Your videos are soooo awesome! thanks again! I feel like I'm​ falling love with you.:)

[@blackpenredpen]

Thanks!

[@zinyen3439]

Sir, is it possible that the equation is exact and is not homogenous? If possible, is there a method on how to solve?

[@amiramnoamdoron]

Very good!

[@preciouskakhobwe2328]

you're just the best

[@ALEX-iq7do]

Very helpful

[@eume9412]

I love this guy. ❤

[@blackpenredpen]

Thank you

[@ianmoseley9910]

I tend to get hung up on the chain rule in this sort of thing and the calc 3 method appears easier to me.

[@oliviasalmon1052]

Super helpful. Thank you.

[@blackpenredpen]

You're welcome!