Separable First Order Differential Equations - Basic Introduction

This calculus video tutorial explains how to solve first order differential equations using separation of variables. It explains how to integrate the function to find the general solution and how to find the particular solution given the initial condition. This video contains plenty of examples and practice problems.
Antiderivatives:
• Antiderivatives
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
Mean Value Theorem - Integrals:
• Mean Value Theorem For...
________________________________
Average Value of a Function:
• Average Value of a Fun...
U-Substitution - Indefinite Integrals:
• How To Integrate Using...
U-Substitution - Definite Integrals:
• U-substitution With De...
1st Order Differential Equations:
• Separable First Order ...
Initial Value Problem:
• Initial Value Problem
________________________________
Area Between Two Curves:
• Area Between Two Curves
Disk and Washer Method:
• Disk & Washer Method -...
Volume By The Shell Method:
• Shell Method - Volume ...
Volume By Cross Sections:
• Volumes Using Cross Se...
Arc Length Calculus Problems:
• Arc Length Calculus Pr...
__________________________________
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 499

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/nat7182Sj5XXh7Q.html

  • @Marcus001
    @Marcus0012 ай бұрын

    I have learned everything from this man EXCEPT organic chemistry

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    @natalie.p6997

    29 күн бұрын

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    @raedjameel98994 жыл бұрын

    This man helped me through calculus 1, calculus 2 and now differential equations. I learn from him more than my college professors. A true legend

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    @thepaperwhisperer

    2 жыл бұрын

    I may not be even close to college but I can relate. He helps a LOT.

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    @muhammadabdulahadkhan9333

    Жыл бұрын

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  • @hengyili4662

    @hengyili4662

    11 ай бұрын

    Agree. Although I am attending a university right now but some of my math professors really suck in teaching

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    @mosesssazi

    11 ай бұрын

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    @gabrielbelouche3954

    2 ай бұрын

    @@muhammadabdulahadkhan9333 Agree I learned reaction kinetics, thermodynamics, ap chem, physics but never organic chem.

  • @ThomasFerguson22
    @ThomasFerguson225 жыл бұрын

    Time to study for my Differential Equations final in 11 hours. Wish me luck

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    @nameless4618

    5 жыл бұрын

    How did it go? :O

  • @e.j.deleon5813

    @e.j.deleon5813

    5 жыл бұрын

    Chandler Janssen i wouldn’t be surprised, Finals are Hell no matter what subject, and Differential Equations is also Hell, therefore Differential Equations Finals = Hell^2

  • @cjfool13

    @cjfool13

    5 жыл бұрын

    @@e.j.deleon5813 I'm really sorry but I have no clue how to work out Hell^2 :(

  • @kiyoponnn

    @kiyoponnn

    5 жыл бұрын

    @@e.j.deleon5813 lol it's quite simple once you get the hang of it

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    @kiyoponnn

    5 жыл бұрын

    @@cjfool13The answer is: Infinite hell

  • @amandisowilliams7513
    @amandisowilliams75137 жыл бұрын

    This guy makes me feel like mathematics is easy, thanks a lot

  • @Hoodinator17

    @Hoodinator17

    4 жыл бұрын

    Amandiso Williams it’s easy asf

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    @clear8996

    4 жыл бұрын

    Exactly

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    @nate78035 жыл бұрын

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    @minxiao8434

    3 жыл бұрын

    I don't think 4:59 is correct. You get +/-. Have you seen kzread.info/dash/bejne/ZISH082apcvgfpc.html

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    @stephendavis18373 жыл бұрын

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    @rigatonischnapp898

    2 жыл бұрын

    My professors dont even lecture! Paying an institution to learn from the organic goat!!!

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    @lacku2677

    2 жыл бұрын

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    3 жыл бұрын

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    @Marcus001

    2 ай бұрын

    @@wadeinn463 mood

  • @geraldcanaansohn8235
    @geraldcanaansohn82354 жыл бұрын

    JG is such a great thinker.. his approaches are very simple.. I had learned to teach other classmates following exactly as he does. thanks a lot sir. please make more videos on high level mathematics like Laplace transformations and other similar topics. trust you will have millions of followers liking your page. hope this will be considered sir. thanks once more.

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    @ermano5586 Жыл бұрын

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    @johnchngg4 жыл бұрын

    finals tomorrow, and I’m learning the basics smh

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    @AnimeRenegades

    4 жыл бұрын

    haha hold my beer

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    @PierreTruDank

    4 жыл бұрын

    That's nothing, I'm learning the basics right now as I do the online exam. Real COVID hours.

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    @johnchngg

    4 жыл бұрын

    Comrade Pierre Tru-Dank amazing, you take the cake HAHAHA cheers man, how did it go?

  • @PierreTruDank

    @PierreTruDank

    4 жыл бұрын

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    @shukishan

    4 жыл бұрын

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    @kamil.lionaire13216 жыл бұрын

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    @rh88841

    5 жыл бұрын

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    @gartyqam

    5 жыл бұрын

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    @rh88841

    5 жыл бұрын

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    @gartyqam

    5 жыл бұрын

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    @rh88841

    5 жыл бұрын

    @@gartyqam I mean if you want to go correct the other 1/3 of people online that don't use them be my guest. Using the wrong "your" shows a lack of intelligence, intentionally leaving out a period does not.

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    @mcleanephatha5 жыл бұрын

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    2 жыл бұрын

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    The KZread learning format is exponentially better than any other university learning format. It offers the opportunity to actually UNDERSTAND instead of MEMORIZING the material. With a few mouse clicks A lecture can be repeated until the problem is understood. It can also be paused to gain any necessary background information required to understand each step. Working out the reason for each step can take time, from minutes to days, which would not be possible in a traditional classroom. Not only is the educational format better, but many more students can be reached. This particular video, as of 2/1/2017, has 834,351 views. As of now, 3/15/2022, the number of views has to be in the millions. No college professor in any traditional classroom format can come close to lecturing the number of students represented in those views. david

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    3 жыл бұрын

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    @eli25jk704 жыл бұрын

    "Go ahead and pause the video and see if you can get this answer." Me: pauses video to write this comment, resumes video.

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    @tatiana1310

    3 жыл бұрын

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    @sagalduraan3489

    3 жыл бұрын

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    @cringetastic16592 жыл бұрын

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    @arielrodriguez056 жыл бұрын

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    @muhammadtaqveemahsanpasha40454 жыл бұрын

    Probably the best video on integration on KZread! You, sir, are a life saver. Thank you.

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    @Hoodinator17

    4 жыл бұрын

    Muhammad Taqveem Ahsan Pasha why you come to American schools

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    @markmmmm97202 жыл бұрын

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    @JesusMartinez-zu3xl Жыл бұрын

    what my professor explained in 50 minutes you explained in 10 minutes. Thank You!! you helped brush up what the professor taught:)

  • @jeiogogolin5796
    @jeiogogolin57965 жыл бұрын

    Please make another video about this topic 😁 More examples I guess. Thank youuuu! God Bless always!

  • @portunus9210
    @portunus92103 жыл бұрын

    2020 , still watching ur videos. I got B+ and more in all of my maths exams. You are better than every teacher I have met. Thank you.

  • @shotono3286
    @shotono328610 ай бұрын

    At 1:00, he only adds C to the right side because when you integrate, on the left side there's a c1 and on the right there's a c2. When you subtract c1 from both sides, you get a c on the right side that isn't c1 or c2. I hope this helps, because I was wondering why he did that myself.

  • @vinnymichael2359
    @vinnymichael23593 жыл бұрын

    Bro You are a life saver. Have a quizz tomorrow and this just helped me understand better.

  • @hananoorazam2966
    @hananoorazam2966 Жыл бұрын

    makes so much sense, and is easy to understand through your explanations. thank you so much! kudos from me

  • @zanejones4122
    @zanejones41224 жыл бұрын

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  • @howto6658
    @howto66583 жыл бұрын

    you helped me pass my physics and calculus 1 and 2 exams in university and once again am here for differential equations in 5th semester

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    @khayalabdullayev8 ай бұрын

    Thanks for all of this. This channel is such a lifesaver.

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    @stankolodin55863 жыл бұрын

    The dark theme is MUCH appreciated.

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    @misayyy3 жыл бұрын

    Happy teachers day organic chemistry tutor!

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    Professor Organic Chemistry Tutor, thank you for an excellent Introduction to Separable First Order Differential Equations. This is a simple topic that all students should understand in Introductory Differential Equations. At the 4:37minute mark, there is an absolute value sign missing after the ln. This occurs in the final example in the video. Please correct this small error in the video.

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    @dsstntech4 жыл бұрын

    anybody else always responds "yes" when the ad asks if the old videos are still helping?

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    @arriesgadochristine1312 Жыл бұрын

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  • @theodoresweger4948
    @theodoresweger4948 Жыл бұрын

    Very good I had forgotten and this is where I left off . Well explained thank you.

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    @ambition_junkiie832 жыл бұрын

    You’ve done it again!!!! Thanks.

  • @nathaniel4146
    @nathaniel41465 жыл бұрын

    Please give us more examples... btw, thanks a lot for the vid. It is helping me alot

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    @alshookryalsir47072 жыл бұрын

    Thanks it's really an excellent explanation 👍

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    @fareeshameliabtmohdyusuf15143 жыл бұрын

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    @alphasaffi9230 Жыл бұрын

    My mentor thank you for very much.may God 🙏 richly blessed you.bro you have given me a zeel and courage to focus on mathematics thank you sir

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    @westirons88745 жыл бұрын

    You are the man! Cheers!

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    @simafu7213 жыл бұрын

    This guy is a hero. Again, Thank You

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    @HassanAQ-y2t5 жыл бұрын

    I feel like everyone can have a different solution and a different idea of solving that by the way he simplifying it

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    @user-zz7ov8gw7r5 жыл бұрын

    This channel is VERY helpful😇

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    @Aleraptor2 жыл бұрын

    You deserve the Purple Heart.

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    @adengoher43433 жыл бұрын

    Thank you for this video!

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    @rstmako2 жыл бұрын

    this is the greatest video of all time

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    @steveying130511 ай бұрын

    This is, simply splendid.

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    @abdussamad94513 жыл бұрын

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    Exams are being simplified by this guy for sure😊😊

  • @hal4473
    @hal44734 жыл бұрын

    Thank you very much for uploading this video😁. However, what does it mean when y(pi) =3?

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    @mrelizeus22614 ай бұрын

    This is really easy if you learn correctly álgebra, calculus I and Calculus II. Thanks!

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    @herrschultz74136 жыл бұрын

    OMG I LOVE THESE VIDEOS AND YOU

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    @RafaSyed

    6 жыл бұрын

    Britany Cheung are you taking this course this semester?

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    @faith_jelagat_ Жыл бұрын

    great video sir 👍🏾🙏🏾 Thank you

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    @lazuli938111 ай бұрын

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  • @memeingthroughenglish7221
    @memeingthroughenglish7221 Жыл бұрын

    great examples!

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    @allengardon48993 жыл бұрын

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  • @ramymagdy5222
    @ramymagdy52224 жыл бұрын

    Thanks from Egypt

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    @jasonwalon54703 жыл бұрын

    who knew mr organic chem has the best math videos

  • @vladradulescu5420
    @vladradulescu54202 жыл бұрын

    Thank you so much, Bro!

  • @skaternspike3739
    @skaternspike3739 Жыл бұрын

    How do you know which side to add the plus C?

  • @oliver2093
    @oliver20932 жыл бұрын

    amazing video, ty!

  • @mikuculus3720
    @mikuculus37203 жыл бұрын

    THANK YOU 😊

  • @MartinGarcia-bz1oy
    @MartinGarcia-bz1oy5 жыл бұрын

    please do more diff E videos !!

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    @akarshgupta2 жыл бұрын

    You are officially amazing!

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    @lemuelhammond67746 жыл бұрын

    Please can u do more videos on partial differential equation and ordinary differential equation...

  • @Jessiemats
    @Jessiemats4 жыл бұрын

    Thank you

  • @oghenekparobomorgin5595
    @oghenekparobomorgin559511 ай бұрын

    Thank you very much

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    @Pathprofitfinder2 ай бұрын

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    @jamalsmith5834 Жыл бұрын

    THANK YOU SO MUCH!!!

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    @trevortempleton70252 жыл бұрын

    thank you

  • @younussharif3533
    @younussharif35334 жыл бұрын

    the best lecturer

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    @neri49504 жыл бұрын

    you are the BEST

  • @pzshakoor7013
    @pzshakoor70136 жыл бұрын

    i was taking the course on variable seperable form , and i saw a D.E like y'=sin(3x-y)..and my question is what if we multiply logarithm on each side and then logm-logn =logm/n ....then we cancel out log on both sides, this can make D.E in seperable form , and if i am wrong , clear my doubt plz ,

  • @katyadimitrovapetrova9343
    @katyadimitrovapetrova93439 ай бұрын

    super helpful, thank you!

  • @beshoyasaad3427
    @beshoyasaad34274 жыл бұрын

    in example #2 I got y=2x+C and it worked

  • @cabdifitaaxcabdullaahixaas6818
    @cabdifitaaxcabdullaahixaas68182 жыл бұрын

    thanks, you are the best

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    @masleniamubarrat27104 жыл бұрын

    Thanks aaaaaaaaa looooooooooooooot, i wish u were a professor at my University 😔😔😔

  • @skimo9165
    @skimo91654 ай бұрын

    You are the best bro

  • @tripurisima3541
    @tripurisima35415 жыл бұрын

    Thank youuu💕💕

  • @samiulhuq2913
    @samiulhuq2913 Жыл бұрын

    Make a lot of AP chem video playlists I need you next year

  • @desalewtefera1128
    @desalewtefera11285 жыл бұрын

    Very nice keep it up

  • @tele_gram_me_TheKickingmustang
    @tele_gram_me_TheKickingmustang5 жыл бұрын

    Man I can't thank u enough

  • @14dimetilbenimzen
    @14dimetilbenimzen8 ай бұрын

    This guy explains everything.

  • @hussain4373
    @hussain43732 жыл бұрын

    You're the best!

  • @amjojo2231
    @amjojo22312 жыл бұрын

    Thank You sir.

  • @moazelsawaf2000
    @moazelsawaf20004 жыл бұрын

    Thanks a lot sir

  • @a3van609
    @a3van6094 жыл бұрын

    Tan(180) and tan(360) also give 0, or every 180 degrees to be precise. So value of c could be 179 and 359 as well.

  • @nurulhamidah848
    @nurulhamidah848 Жыл бұрын

    question; i watched a lot videos and most of them put dy on the left and dx on the right. But what my lecturers teach me was the other way around. But, i cant get the ans if i useed my lec's method. So should I follow the video or my lecturers's one?

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    @user-xq3jq3cf2f10 ай бұрын

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  • @hoc3028
    @hoc30283 жыл бұрын

    good video thanks

  • @hunchoshabzzz6590
    @hunchoshabzzz65903 жыл бұрын

    thanks mateee

  • @tommyjoseph8630
    @tommyjoseph86303 жыл бұрын

    Love the video.Can you explain why both sides of the function need to be placed on the exponent of e .Thanks 😊

  • @jansmith7387

    @jansmith7387

    2 жыл бұрын

    Right? I saw a vid where you can only use e as a base if both sides of the function is a natural log🥲

  • @Carat538

    @Carat538

    2 жыл бұрын

    very late reply, bc you need to get rid of the Ln() so you need to use e^

  • @sisiphomakinana3126

    @sisiphomakinana3126

    2 жыл бұрын

    @@Carat538 omg wish you replied sooner 🤣😩

  • @Carat538

    @Carat538

    2 жыл бұрын

    @@sisiphomakinana3126 lmao sorry 😂

  • @starx8771
    @starx87713 жыл бұрын

    thank you!

  • @CHROLLEYS
    @CHROLLEYS2 жыл бұрын

    THANKS