Second Order Linear Differential Equations

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This Calculus 3 video tutorial provides a basic introduction into second order linear differential equations. It provides 3 cases that you need to be familiar with. It explains how to find the general solution of the differential equation as well as how to solve the initial value problem and the boundary value problem.
Lines & Planes - Intersection:
• How To Find The Point ...
Angle Between Two Planes:
• How To Find The Angle ...
Distance Between Point and Plane:
• How To Find The Distan...
Chain Rule - Partial Derivatives:
• Chain Rule With Partia...
Implicit Partial Differentiation:
• Implicit Differentiati...
________________________________
Directional Derivatives:
• How To Find The Direct...
Limits of Multivariable Functions:
• Limits of Multivariabl...
Double Integrals:
• Double Integrals
Local Extrema & Critical Points:
• Local Extrema, Critica...
Absolute Extrema - Max & Min:
• Absolute Maximum and M...
________________________________
Lagrange Multipliers:
• Lagrange Multipliers
Triple Integrals:
• Triple Integrals - Cal...
2nd Order - Differential Equations:
• Second Order Linear Di...
Undetermined Coefficients:
• Method of Undetermined...
Variation of Parameters:
• Variation of Parameter...
________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Опубликовано:

24 ноя 2019

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Комментарии : 560

@TheOrganicChemistryTutor 7 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

@AiZeno 4 года назад

not gonna lie, this 25 mins video = 2 lecture classes of 2 hour = 4 hours of lecture and is paid. Whilst this is free. You deserve something better!

@gartyqam 3 года назад

*while

@alisonlaett9625 3 года назад

I'm kinda jealous. My teacher covered this and more in one 1h15min lecture. I wish we were able to go at slower pace, but that would only be possible if the university added a lecture period every week, which they won't do :(

@anindyaroy5692 3 года назад

I am still a student, but hopefully I want to donate these gentlemen some money!

@marybean2231 3 года назад

@@gartyqam you're so cool

@fahimally3923 3 года назад

TRUEEE TRUEEE TRUEEEEE

@thunderbolt997 3 года назад

dear school teachers stop skipping steps and start telling us both the how and why! like this guy in the video!!

@uniqueideas3112 3 года назад

👍👍👍

@pvpetvlogs5298 3 года назад

Yeah true 😊

@mary.s.v 3 года назад

Yeeeeeessss😢

@Theabok853 2 года назад

They run out time doing that that what schooling does but education takes time hahaha.

@lifelyrics5659 2 года назад

Haha yeahhhh We hate school

@blakkermambaa 3 года назад

You should be getting my tuition instead of my university. I've learned more physics, chemistry, and calculus from you these last few years than I have from most classes. Thanks!

@alexmiller1148 3 года назад

Agree! Students like us learn more from you than in university classes. We just really enrolled 'coz we don't really wanna be left out.

@mikayjd 3 года назад

hahaha exactly!

@radhikakamdar5556 Год назад

just curious, what university do you attend?

@stephenefeamos6721 Год назад

Very correct

@GryffieTube 11 месяцев назад

Ditto. He explains it much better than any uni tutorial.

@lasithathilakarathne3205 3 года назад

This 25 minutes covered a two and a half lecture that I didn’t even understand...Thanks a lot♥️

@NativeGatekeeper101 3 года назад

Tienes que escribir cada concepto que el diga..paso por paso..Cuando usar cuadratic formula y cuando debes usar factorizacion..Recuerda DOS SOLUCIONES -PRIMER CASO . UNA SOLUCION_SEGUNDO CASO. Tercer caso imaginarios numeros etc

@lasithathilakarathne3205 3 года назад

@@NativeGatekeeper101 I’m so sorry. I can’t understand a single thing you said.

@NativeGatekeeper101 3 года назад

@@lasithathilakarathne3205 For this level we need to speak at least 2 languages. In Europa, some people speak 3 and 4 language Plus Mathematics language.

@lasithathilakarathne3205 3 года назад

@@NativeGatekeeper101 that’s true

@mohammed_ghazali 3 года назад

same, but i feel my teacher translate this lecture wrongly.

@rmdir Год назад

I appreciate how you dive quickly into actually solving problems, rather than getting bogged down in theory. At times the theory is important, but most of the time we just need to get straight down to business. In the long run, this no-nonsense format is more useful than any other math tutor on youtube.

@Jadester 3 года назад

You are such a hero man. Seriously I can't think you enough, your generosity in sharing all this knowledge in such a compelling way genuinely makes me want to cry. You have helped me so much in my college classes, thank you.

@nahomfekadu1375 3 года назад

It was very good tutorial but i have a doubt starting from example 2 which is like y''-6y'+9=0 r^2-6y=0 not r^2-6y+9=0 (the question is given 9 not 9y but you're working the calculation as it were 9y.) make a correction sir....

@lich3622 2 года назад

-6r*

@macsentiffany618 2 года назад

Yes it really threw me off

@alihoussa2238 2 года назад

can we pin this off

@AbdiBedaso Год назад

@@lich3622 is correct

@crimsonflood1643 4 месяца назад

oh I'm glad I'm not the only one, this really threw me off and had me doubting everything I knew, yeah this was a bad mistake on his part

@paranoidcomet 3 года назад

hey, you dropped this 👑

@jessnunn Год назад

On questions 2,3, should it not be in the form ay''+by'+cy? Instead of ay''+by'+c?

@simegnewtesfaye4455 Год назад

👍👍👍

@MHHasan-fu3kp 5 месяцев назад

yeah, this was confusing me, too.

@lukasdemarsin4344 2 месяца назад

I was thinking the same

@lynnroach731 3 года назад

I love that these videos always explain each step, even stuff learned in previous math classes. I'm doing this in calc 2 right now, but I always get rusty on factoring polynomials when I haven't done it in a while, but whenever he explains it I feel like it all comes back. My professor would probably just say that we learned this in Int. Algebra which is true but we can't always remember everything off the top of our heads!

@tcv_sacred734 9 месяцев назад

calc 2????? I just started doing this in calc 4

@Kgt743 3 года назад

This man has saved me countless hours by actually being able to teach the subject. Thank you so much

@virajgorthi7488 3 года назад

For Case 3, one tip my professor gave us was to solve by completing the square for the quadratic, then square rooting the function on both sides. It's a lot easier and gives you the same answer as the quadratic formula

@richieescarola9529 2 года назад

i was thinking of it too.

@user-xl1ig1bn6i 7 месяцев назад

No problemo. So long as you are proficient with manipulation of algebraic expressions.

@HeyKevinYT 4 года назад

Previous video: “fraction” me: *presses upgrade* This video: “SECOND-ORDER SEPERABLE DIFFERENTIAL EQUATION” me: *GO BACK GO BACK!!*

@AB-gu9ui 4 года назад

actually these are second order linear homogenous ordinary differential equations, they are not separable.

@tomatrix7525 4 года назад

Seperables are when you can cross multiply....these are linear homogenous

@shivamrpatelofficial 2 года назад

Your videos have saved me so much time especially a night before my exam. I have been watching you for years and I appreciate you for spreading the knowledge to all of us in such a simple way.

@sijaladnani4765 2 года назад

I'm here right now because I wanted to thank you personally, Mr. Organic chemistry tutor. The clarity of your videos, with your heartfelt yet joyful tone, brings tears to my eyes. I am but a mortal vessel, and as such, I am unable to adequately articulate the sense of divinity and celestial dominance your video explanations have bestowed upon me. The whim and astonishment that each soul touching connection left is enough to stimulate the previously sluggish flow of deep emotions that have lied in the depths of my soul after my university lectures. Thank you very much, Mr. Organic chemistry tutor for your beautiful explnantions.

@priyatiwari22 Год назад

Itni achi english kese ho saktiye

@aravindsai2409 Год назад

amen

@ELXXXVIIIMMV Год назад

Stop trying to sound smart

@rastyisanerd3686 9 месяцев назад

This comment belongs in a museum.

@baps04 8 месяцев назад

5:07 - Case 1 Example 6:53 - Case 2 Example 8:45 - Case 2 Example 12:50 - Case 3 Example 16:28 - Case 3 Example (with initial values) 21:22 - Case 2 Example (with boundary values)

@beautyoflifebeautyoflife762 3 года назад

you are the reason why I am getting great grades in my engineering classes and maths can be quite difficult for me to understand. Wish you were my tutor. You are AWESOME!

@crimsonglory7823 2 года назад

I can't thank you enough for all the help you've given to students all over the world. Not all heroes wear capes, some tutor people on RU-vid.

@georgesadler7830 Год назад

Professor Organic Chemistry Tutor, thank you for an awesome video/lecture on Second Order Linear Differential Equations. Second Order Linear Differential Equations are simple to follow and understand provided that students have taken Calculus I and II. Thanks to the viewers for finding and correcting the error/errors in this video.

@vincentprado9981 Год назад

I was so confused. He made a few mistakes. To get a C, the term should have a y in it. It can't stand alone. Like for 9y''+24y'+16=0. In order to get the solution that he got, he actually solved 9y''+24y'+16y=0

@ArchitMoharir Год назад

You know you are doing a great job when the video is still being used after 3 years !! Thank you so much

@kevincui5282 Год назад

We spent an entire week on this one topic at my university and I didn't learn crap, yet after this 25 minute video I just breezed through all the homework! Thank you!

@lewismackenzie7484 3 года назад

Honestly, thank you so much for this! You are carrying me through my maths module at uni

@artousi 9 месяцев назад

The legend continues...Best engineering RU-vid channel there is. No matter what I am trying to learn this guy has a video for it that is guaranteed to make me understand it better than I would from class.

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@Hell.on.foot1 Год назад

My 3rd year of general physics and still watch yours and Houston maths prep videos you two are legends

@brendanpaget2914 4 года назад

Couldn't have been a better time for posting! Thank you so much! You have helped a lot!

@kapishmalik Год назад

This 25 min lecture came in clutch for my exam in 6 hours , thanks a lot.

@glen2551 3 года назад

Seriously this lecture is one of the best of all the maths program i follow on youtube, you deserve to be paid sir evey step was well understood

@mkmathstutorials6645 2 года назад

My vision is to be a great maths teacher 1 day. You are a stepping stone. Thanks alot man.

@fosterasiedu1212 4 года назад

Have been waiting forever. Thank you. More of differential calculus.

@armzeeth5706 5 месяцев назад

Your concise 25-minute lecture was as impactful as a lengthy 4-hour session. I truly appreciate your clear explanations, Chief. Not only you cover engineering mathematics comprehensively, but you also addressed our entire semester's modules. Thank you for your invaluable contribution! 🙏❣️

@MrKristian252 2 года назад

I had Differential Equations last year, and it has been a big black hole in by brain. Thank you so much for filling in those gaps!!

@tark3822 2 года назад

25 minutes better than 3 hours of lecture. Thanks a lot

@_MarSify_ 4 года назад

you are a life saver man :') i could not understand this in 2 lectures but you made it easy peasy in a 25min video omg , can't thank you enough

@youcancallmeal7272 3 года назад

Indescribably helpful, pretty sure you are literally the best teacher in the universe.

@NativeGatekeeper101 3 года назад

Thanks for helping me increase my confidence. You patiently explain incredibly well.

@bigbrainsvoid1560 3 года назад

I've been procrastinating for hours thinking this is the hardest thing ever but u explaining anything makes it so easy ty so much

@justinsauve808 Год назад

Your teaching style of explaining th material then immediately going into practice problems is great! Thank you!

@MShazarul 4 года назад

Just in time! Final is nearing and your first order differential helps a ton! Thanks (I haven't watch the full video but I know it's gonna rock my paper!)

@mosesajekwe1053 2 года назад

You're blessed

@mariecolquhoun6181 3 года назад

You are the best lecturer ever. You need an award. In lecture time this would have cost me around £400

@mr.electro4674 9 месяцев назад

Had a lecture on these today, took rigorous notes, looked at the problem sheet and came straight here 😂, i know you always got me covered bro, thank you

@anwan5 2 года назад

Thank you so freakin much! You help me understand and learn much more than my "professors", you made me like math again :)

@lauraoliveira9679 9 месяцев назад

College professors should learn from you because in 15 minutes you made me understand the topic and idea 10 better than sitting through 2 lectures did.

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@sholaibukun1352 Год назад

Wow😮, this is mind blowing . You were able to streamline this explanation into about 25 min 16sec . I have been looking through my materials for hours and couldn’t get any reasonable solution to the question I was pose at. Thanks 🙏 a lot sir

@danielxbox28 Год назад

Man , This guy is literally saving me for my Diff equations test tomorrow!. I'm understanding clearly with the combinations of lots of examples and a bit of theory. The professors just give you abstract theory , which doesn't help me understand on it's own!

@mikayjd 3 года назад

Watching for my exams tomorrow. Learned a lot. Thanks!

@adamiennd8167 4 года назад

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@waanochannel6502 4 года назад

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@moustachio9936 3 года назад

0:14 when he says ''you might want to have a sheet of paper with you to take down some notes'' i felt this was gonna be hard

@cynthiamonkap9910 Год назад

you make differential equation so easy, thank you so much for boosting my exam confidence

@dramaqueen9475 3 года назад

i literally am in love with u. where tf would i be without ur videos?

@beautyoflifebeautyoflife762 3 года назад

same I think I would have failed my first test.

@haythem4866 2 года назад

I appreciate when people explain like him rather than writing Ancient Greek on the board and expecting us to understand from the get go.

@coltonlittlewood7085 2 года назад

You explain this so much better than my professor. I love you

@user-lz3rb9jy3o 7 месяцев назад

good video. clear enough for me to understand,thank you

@JohnnyMontilla Год назад

YOU SAVED MY GRADE! THANK YOU!

@hourglas9836 2 месяца назад

Thank you so much Sir this 25 minutes class was equal to a 4 hours lecture that i didn't even understood, I'm very grateful ❤

@rithuvarshana.t6822 Месяц назад

Very Great Video for studying Second order ODE's This is what exactly i liked about it after 4 years also it's worth watching man

@dianaprinceislel.6827 3 года назад

This 25 minute video sums up all the stuffs in my 19-page module, I can't understand a thing in it until I watched this video.

@1unga 2 года назад

This was perfectly explained, thank you so much!

@warwick802 10 месяцев назад

I pay old professors who should be retired thousands of dollars to show up to class and watch them teach nothing/overcomplicate everything This gentleman teaches me what I need to know for free and I can view it at my pace. Amazing times we live in

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you are t the best tutor ever. your channel has helped me alot in my studies.

@ejoshtech5358 2 года назад

U the god of math tutorials, simply unmatched. If you had programming tutorials you would be the almighty

@rusirubatuwatta8731 4 года назад

Thank you! Now i can finish my assignment ❤️

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@rachel_k8519 3 года назад

I'm so happy I came across this channel! Learned a lot in these 25 mins

@jordabox 3 года назад

Thank God I read this comment otherwise I would have forgotten to put the playback speed on 2x

@manzidaniel5814 2 года назад

Thanks a lot tutor, this is well explained way better than the lecturers in collage.

@zacharycornman977 9 месяцев назад

Thanks so much for making these things so much simpler to understand man.

@AlEx-ro7kd 3 года назад

ive been putting off learning this cuz it sounded so hard but u explained it perfectly

@edungdivinefavour6977 Год назад

You deserve all my tuition man

@acylthegreat1539 2 года назад

Hope i can pass my exam tommorow 🙏 btw thank you for teaching us effortless you did better than my teacher

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@almustaphaumar2904 11 месяцев назад

Thank you for the most simple explanation

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Your voice always heal my hearts mathematical problems 😇👩‍🎓🙏

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bro i finished school, traveled to a foreign country to study and already in my 3rd semester in college and u still save my day until today hahahaha

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I think im in love with u... This vids really help me. Keep up the amazing work!

@wshacode7179 2 года назад

really really better than our university lectures thank you ;)

@zarrinnahid448 3 года назад

Stay blessed always. Best teacher on youtube ;)

@fgbnh2946 Год назад

Thank you so much for all of your videos, it has been a great help!!!, I am going to do well in my exam because of you!!!!!

@notpiccaboo142 3 года назад

Thank you so much, our professor sux!!! Esp this time of quarantine where online classes are conducted.

@toi_let954 2 года назад

My professor basically just gace me a book and told me to figure everything out on my own... thank god for youtube

@otabeksaibnazarov5704 2 года назад

thank you for lesson, now I can solve Second order linear differential equations

@ADARSHTSRA 3 года назад

Beautifully explained, thank you.

@marcellacella8293 2 года назад

Thankyou for the clear explation, it helps me a lot

@zanginapeterwinnimi4370 Год назад

He explains the concept for students' understanding.thanks alot.

@bluegreyfictions 11 месяцев назад

thank you so much for such easier explanation.

@Da007Prince 4 года назад

Just in time, I need this like forever

@wallyalshamari3526 11 месяцев назад

bro you have saved me countless times

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@RP-hv3mz 3 года назад

For the first example for case 3, how do you get the two values of Beta as 3? Why is it not + & - 3? Also thank you so much for this channel!

@rialdoroeloffze628 3 года назад

Literally understood more within 5 minutes of watching this vid than an hour of lectures.

@miguelbandura1192 3 года назад

Thank you sir! Mas natututo ako sa inyo kesa sa instructor namin na puro pagawa lang alam.

@ahmednabil776 3 года назад

Thank u from EGYPT . Its amazing video❤