First Order Linear Differential Equations

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This calculus video tutorial explains provides a basic introduction into how to solve first order linear differential equations. First, you need to write the equation in standard form [y' + P(x)y = Q(x)] and then identify the functions P(x) and Q(x). Next, you need to determine the integrating factor I(x) using the formula I(x) = e^(integral of P(x)dx). Finally, you can use another formula to find the general solution of the first order linear differential equation y = 1/I(x) [Integral(I(x)Q(x)dx + C]. This video contains plenty of examples and practice problems on solving first order linear differential equations.
Improper Integrals:
• Improper Integrals - C...
Integration Into Inverse Trig:
• Integration into Inver...
Integration of Rational Functions:
• Integration of Rationa...
Integral of Logarithmic Functions:
• Integral of Logarithmi...
Integrating Exponential Functions:
• Integrating Exponentia...
Integration Formulas:
• Integration Formulas F...
________________________________
Integration By Tables:
• Integration By Tables
Reduction Formulas - Integration:
• Reduction Formulas For...
Center of Mass & Moments:
• Moment, Center of Mass...
Center of Mass & Centroid Problems:
• Center of Mass & Centr...
Hydrostatic Force Problems:
• Hydrostatic Force Prob...
Probability Density Functions:
• Probability Density Fu...
_________________________________
Normal Distributions - Calculus:
• Normal Distribution & ...
Homogeneous Differential Equations:
• Homogeneous Differenti...
1st Order Linear Differential Equations:
• First Order Linear Dif...
Bernoulli's Equation for Differential Equations:
• Bernoulli's Equation F...
Slope Fields:
• Slope Fields | Calculus
___________________________________
Converging & Diverging Sequences:
• Converging and Divergi...
Monotonic & Bounded Sequences:
• Monotonic Sequences an...
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

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23 мар 2018

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Комментарии : 658

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-BoI_ej-T0V4.html

@davidadugyamfi3616 Год назад

Can you please make videos on multi variable calculus

@GeraldIguwa-mu6wf 8 месяцев назад

😊

@Samuel_O 6 месяцев назад

Pls can you tell me what textbook you used for these, I think my lecturer is using same thing because the questions and solutions are all the same

@TommyAyalachannel 5 лет назад

at university: wtf... on youtube: bruuuh that's it?

@Allfay 4 года назад

Tommy Francisco Ayala coz he’s the best!

@nightbot.2341 4 года назад

This is high school

@settrender 4 года назад

‼️‼️

@halofire4725 4 года назад

The problems in uni are much harder. toct teaches the fundamentals which is great.

@evaristogabriel8208 3 года назад

no cap :(

@isaaconyach9401 5 лет назад

dude, i wish i could buy you lunch

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you can buy me lunch :)

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😂

@mmdg1917 3 года назад

Same feeling here,, this page has helped me a lot in my studies😍

@TheGuroLOLITA 3 года назад

Lolllll

@aeygee6337 2 года назад

Yeah me too

@A76noname 4 года назад

I've been struggling with differential equations and in just a few minutes you made everything click. I honestly don't understand why university lecturers don't include a simple "and here's the actual steps you need to take to solve an equation like this" after all of the heavy theory.

@telamporen5680 2 года назад

exactly, theory pisses me off

@icarus2k 2 года назад

@@telamporen5680 Nothing is wrong with theory, the problem is professors simply can't teach math effectively. Theory is good when you follow it up with simple instructions like organic chemistry tutor. I hate how all throughout life teachers make math look so much harder than it actually is

@ericsartin2132 2 года назад

@@telamporen5680 I think theory is really important to teach, its really frustrating when that's all you're taught and then you're expected to derive the formula manually every single time you do a problem

@DarthVaderfr 2 года назад

@@icarus2k if you have teacher who don't give a fuck about teaching that's the sad result

@ichisan3775 2 года назад

It becomes simple after listening what you tech.great. thank you so much.

@santokun5835 3 года назад

I have exam at 8 am and couldn’t understand shit due to the semester being online with shitty lectures. Thank you so much dude. You really are a life saver

@GabeTStarman 3 года назад

same boat homie, same boat

@christophetnsaman729 3 года назад

For real 😪

@yummy-mochi420 2 года назад

also the irony of this statement.

@toastom 2 года назад

how did you do? (1 year later lol)

@santokun5835 2 года назад

@@toastom Did pretty well actually. Can't believe It's been a year already lol.

@gredystar8333 4 года назад

Ads: still searching for math help on RU-vid? are the videos from RU-vid really helping? Me: yes, yes they are. Have you even seen this channel??

@azaardawan5089 4 года назад

lmao

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i thought of this as well lol

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@@ella_lovelife9641 no body works for free Ella

@katesoten1457 3 года назад

You took the words right outta my mouth lol

@RamytRamyt 6 лет назад

I've said this before, and I'll keep saying it ... you are a life saver!

@matsigh 5 лет назад

This man took less than a minute to explain what I failed to understand after an hour lecture lmao

@rami8896 3 года назад

Its actually insane how easy he made it look. I thought I was just stupid before I read the comments.

@yourvoteisimportant 2 месяца назад

That is your problem

@LyricVids2u 3 года назад

This man, alongside Professor Leonard, carry RU-vid math lessons. Your two best advanced math sources on here no doubt.

@anycolouryoulike8567 2 года назад

Leonard is unnecessary lengthy and chatty. OCT is the epitome of conciseness. Man is talented,

@brandonbennett4970 Год назад

@@anycolouryoulike8567 prof leonard goes into a lot more detail though. These videos by OCT are only to supplement an actual lesson. They dont get into any of the reasoning behind why or how this works

@anycolouryoulike8567 Год назад

@@brandonbennett4970 Maybe, but he gives just enough information to get high exam scores.

@therelaxlead676 9 месяцев назад

Yeah like he doesn't talk why something happens , probably he's a student as well and not a full blown professor , even I taught students once when I was in University [ economics to high school peeps ]@@brandonbennett4970

@jkmstev 2 года назад

I learned ODE in late 1960, 50 years ago, never came across this topic. Now I am over 70 years old, still enjoy learning this. Thanks very much for this simple and elegant explanation!

@FirstnameLastname-bx4zk Год назад

What was your favorite decade and why

@Muhammad_Waleed Год назад

@@FirstnameLastname-bx4zk Good Question

@brandonsayareh7177 3 года назад

<a href="#" class="seekto" data-time="0">00:00</a> -how to <a href="#" class="seekto" data-time="73">01:13</a> -prob1 <a href="#" class="seekto" data-time="268">04:28</a> -prob2 <a href="#" class="seekto" data-time="624">10:24</a> -prob3 <a href="#" class="seekto" data-time="1138">18:58</a> -prob4

@SudhanshuKanoongo13 2 года назад

thank you

@azzanporter4377 2 года назад

Thanks

@castiel2565 Год назад

13:41 - prob 4

@helpontheway7856 4 года назад

Im taking DE now and couldn't find you for 1st exam's content. Looking forward to another semester with you! I really feed off your energy and your little tips help so much. Im sure you're exhausted from uploading videos everyday but we are loving you for it. So so grateful.

@JedoJapano 3 года назад

Thank you for doing multiple and different examples. I feel like my professor teaches the concept and doesn't show many examples. You are the basis of my learning in depth.

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We have nothing to pay u back!!🙏

@djdexterjonny1717 10 месяцев назад

Even Economics students

@ServitorSkull 2 года назад

This is way easier than what my book was trying to make me do. Thanks a million, as always :)

@lawrencesuccessyadirijah4372 11 месяцев назад

Yeah bro 😊

@matthewjames6587 5 лет назад

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@jabumutezo4687 5 лет назад

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@zullyardian3136 5 лет назад

You are AWESOME. Instead of beating my head against the wall because my professor has no idea what she's doing, I now come to you. Thanks for all that you do; I may not have gotten through the calc series without your help! I can only imagine how many people you have helped.

@squarerootofashley737 3 года назад

I’ve already failed Calc 2 once, thank you for helping me pass it this time! You’re seriously a life saver!!

@jacquesbautista-plante5497 6 месяцев назад

I literally have been confused the last 30 minutes, and in the first 57 seconds you immediately made everything clear. It's honestly sorcery how easily you make understanding math topics.

@crusadercatwoman 6 месяцев назад

What I understood by reading a book for 3 hours, this guy explains differential equations clear cut in 25 minutes, thank you immensely. ❤❤

@katiiiielynn 4 года назад

I'm not sure how my actual professor made this SO much more complicated while she was teaching it during lecture lol wtf

@niranjanbhondave2125 4 года назад

Ikr !

@aryathakur8671 3 года назад

probs cus she was asian lmao

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Most professors have no idea how to teach as they have never gone to teacher's college and they are likely so super bright that they haven't a clue where/why students' struggle!

@patrickoloo2393 2 года назад

Now I understand why you have millions of subs...you teach it like any other teacher but make things the explain 100 times understandble and easy...life saver

@Kristina-dh1qd 3 года назад

A whole semester I didn't understand nothing from differential equations , until I saw your video today and thanks to you I can solve the exercises. Thank you , you have saved my life .❤

@jasond.holgado1212 4 года назад

I got the highest score in our examination thanks for your help

@jameserayburn 5 лет назад

These videos from this fine young man are some of the very best math videos on RU-vid hands down.

@user-zn4bg9bp8a 5 лет назад

You're a lifesaver. Thanks a lot. I hope now I can pass my test tomorrow. Keep up the good work.

@nicholasmalambo6941 4 года назад

I like your pace of explaining concepts in all the courses I have accessed from your site. You have a heart to teach!! Thanks

@jamarjones2820 Год назад

Dude I have been a Watcher of your channel since high school, I still can't believe you are saving my behind in college, you have explained and made me understand in under 10 mins what my professor hasn't been able to in 3 weeks. Now I'm questioning my Professors competencies as teachers

@vaughnmonkey 3 года назад

I wish you had a full differential equations playlist cause your videos are great for it.

@jamierandviir1836 2 года назад

Thank you so much TOCT, not only do you clearly and concisely break down a topic to make it easy to understand, you also make it fun! - Eternally grateful student

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@mohammaduzair4336 2 года назад

I was exhausted finding my notes regarding differential equation but your video no longer requires them. Thanks a lot!

@possibilities5417 Год назад

I have been watching you since my first year of college and you are probably the only reason why I passed any of my math classes

@lawrencesuccessyadirijah4372 11 месяцев назад

Do you mind we connect?

@freeman0111 Год назад

I was never familiar with this lesson , since I watched it twice now I'm fully aware of it and that's all because of you , I'm truly thankful , dude. ❤️

@moveslikeninja1 5 лет назад

your voice is so calming-- has anyone told you that? :0 your videos help me a lot thank you!

@saad_3798 4 года назад

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@kobeleung1021 4 года назад

Yes totally agree🥰❤️

@georgesadler7830 2 года назад

Professor Organic Chemistry Tutor, thank you for another fantastic video/lecture on First Order Linear Differential Equations. Introductory Differential Equations books use a different method to solve First Order Linear Differential Equations. Many Introductory Differential Equations books after finding the Integrating Factor, use it to multiply the standard form equation and then solve for y. This is an error free video/lecture on RU-vid TV with the Organic Chemistry Tutor.

@vaiebhavpatil2340 4 года назад

U r a super hero u saved my life...I was really having a hard time understanding this from textbook and now I can solve at least intermediate problems without difficulty..thank u so much

@bruhstfuu Год назад

YOU SAVED MY WHOLE CALC2 GRADE IM CRYING REAL TEARS

@minhajurrahman8884 5 лет назад

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@slicer2.085 Год назад

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@timdodge8178 5 лет назад

As always, you rock! Thanks for the clear explanation and the many worked examples! Keep saving my grade!

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@garykavanagh7759 4 года назад

Thanks man, I go straight to your videos when I need maths help.

@petermscot4965 5 лет назад

waahhh. I'm not sure how I'd ever have understood differential equations. thank you sir.

@joedua4741 4 года назад

Jeez man, I wish I could thank you in person. You are a true hero. Thank you many, many times.

@tlawal7 2 года назад

I didn't understand the integration factor method or even remember about it until now. This video explained it so well. Thank you.

@CalebStoffels. Год назад

This man has been helping from grade 12 and throughout college. The true 🐐

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@bone5200 11 месяцев назад

great video, i love your content. from pre calc, to calc1, 2, 3, physics 1, and now differential equations, you have helped me. thank you.

@dwaynevictor6857 3 года назад

You never fail me bro thanks alot for all the effort and time put into these amazing videos

@user-kk5ev4bb7n Месяц назад

6Years today am still benefiting... Thanx man

@quinlinmcleod8249 2 года назад

we've been doing these for 3 weeks and he hasn't broken it down into functions like this.... thanks

@zeroseven51 4 года назад

Love the way you explain each step Easy to understand Keep up the good work

@jhazyloumonteza8985 4 года назад

In the last example, you can simply separate the equation (x² - y)/x into two terms: x - y/x. Goes the same answer, sir. Nonetheless, thank you so much for this vid! you've been my comrade since my first year in college.

@Van_Der_Lay_Industries 2 месяца назад

Thank you! Just what I needed to refresh my mind after many years away from the books.

@firstZpat 2 года назад

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Dude you and Sal Khan are gods among men. Millions of students including me have you to thank for passing any of their classes.

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You help us to see the things we can’t see ordinary…… you make us bisect these concepts to the deepest parts of understanding…. We thank you sir

@godspowerophibikoro1112 4 месяца назад

I keep forgetting this stuff after learning it so many times but I doubt I'll forget this time given the way you've explained.

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This man helped me pass calc 2 last semester. Time for calc 3 and this craziness.

@MohammedKhaledAl-Ashwal 5 лет назад

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Your videos helped me a lot. This channel is such a lifesaver

@danieloladipo6767 Месяц назад

Thank you Very much... I'm so delighted in getting the process of solving First order differential equations 🙏

@gboyawesome1159 3 года назад

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@samuelolajide8591 2 года назад

Thank you bro you are such a life saver

@sruss7433 Год назад

Bro thank you so much my professor made it so confusing but you made it so simple as usual. You're the goat

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@candlelightc4699 8 месяцев назад

Repeating differential equations in uni and i swear the professor explains this stuff in the most convoluted way possible just to fuck with us. I'm honestly better off daydreaming during class and learning all this from youtube later than actually listening to her. Thank you for the explanation i can actually follow and implement

@mythotic7172 2 года назад

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@salman-oi9bp 6 лет назад

plz make a video on 2nd order of ordinary equation

@chanbrosetprach1023 3 года назад

I was scratching my head wondering since when we learn this, just watch yours for 2 mins, I'm ready to do my assignment now.

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@dr20231may 2 года назад

Thanks for not putting ads on this video

@ritadukunde5176 5 лет назад

what should I even say....it took me 2 months to understand the integration factor but this video saved me in just 20 minutes....you really saved my IB....thank youuu

@benwilke5079 4 года назад

I keep coming back to your videos for all my courses. I know this one is old, but will you be uploading more Diff Eq videos with more complicated problems such as modeling?

@realtoy1 6 месяцев назад

This may have been mentioned before but at <a href="#" class="seekto" data-time="606">10:06</a> 14/2 =7, which then is x^3=x^3. Fantastic video! A great help after being away from my last calculus class for 20 years this semester and now taking DEs. Thank you for all the great content.

@trippyphoenix_ 4 месяца назад

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@davejoshuapaolomoletacerbo1865 4 года назад

Thanks for the helping these past 2 years

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@chemiflask7692 3 года назад

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Your Videos Help me to get the concept of topic but My university sets the exam so tough that we are stunned by looking into question Paper. Well thanks for your efforts . We love you