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 :(
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!
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 For this level we need to speak at least 2 languages. In Europa, some people speak 3 and 4 language Plus Mathematics language.
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.
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.
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)
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.
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
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!
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!
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....
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.
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!
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
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.
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
The legend continues...Best engineering TH-cam 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.
I'm from Romania, but the first time when i will travel to America I will give u more beers than u can drink. Thank you. I'm first university year and u save my math exam! RESPECT FROM ROMANIA
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! 🙏❣️
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.
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
If there was TH-cam when I studied university, I would score higher in mathematics than I did; simply because I would follow your highly instructive videos rather than attending boring lectures.
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
Just wow, Mr. you should be really proud of what you represent for som many students. Your platform is gives so much hope to people all around the world, each one of your videos is a step closer to our goals. Thank you so very much and Merry Christmas, Professor.
Yeah I think he did it again in the y"+8y'+25=0 one.It has to be 25y otherwise you cannot use the e^rx when you plug it in as a solution and then come up with the ar^2+br+c=0
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!
9:07 the equation for the question should be 9[(d^2)y]/[d(x^2)] + 24 dy/dx + 16y = 0 instead of 9[(d^2)y]/[d(x^2)] + 24 dy/dx + 16 = 0 [we are missing the `y` for 16y]. the final answer is correct though. Same thing for the equation for the question at 13:00 should be y'' + 8y' + 25y = 0 instead of y'' + 8y' + 25 = 0 [we are missing the y variable at the end]
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!)
in the second example, a 'y' must be attached to the '9' in the given equation to end up with a c value of 9 in the 'r' equation, no? The equation shown would be non-homogeneous.
Hi Thank u for all vidoes in this page i'm really happy to be one of this big learning page With out u im nothing From africa sudan thank you sooooo much teacher All best wishes💗💗💗💋💋🇸🇩
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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!
*while
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 :(
I am still a student, but hopefully I want to donate these gentlemen some money!
TRUEEE TRUEEE TRUEEEEE
true %100
dear school teachers stop skipping steps and start telling us both the how and why! like this guy in the video!!
👍👍👍
Yeah true 😊
Yeeeeeessss😢
They run out time doing that that what schooling does but education takes time hahaha.
Haha yeahhhh
We hate school
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!
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.
hahaha exactly!
just curious, what university do you attend?
Very correct
Ditto. He explains it much better than any uni tutorial.
This 25 minutes covered a two and a half lecture that I didn’t even understand...Thanks a lot♥️
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
@@NativeGatekeeper101 I’m so sorry. I can’t understand a single thing you said.
@@lasithathilakarathne3205 For this level we need to speak at least 2 languages. In Europa, some people speak 3 and 4 language Plus Mathematics language.
@@NativeGatekeeper101 that’s true
same, but i feel my teacher translate this lecture wrongly.
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.
hey, you dropped this 👑
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.
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)
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.
Itni achi english kese ho saktiye
amen
Stop trying to sound smart
This comment belongs in a museum.
You have saved me a lot of time and effort thanks a lot!
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
i was thinking of it too.
No problemo. So long as you are proficient with manipulation of algebraic expressions.
This man has saved me countless hours by actually being able to teach the subject. Thank you so much
On questions 2,3, should it not be in the form ay''+by'+cy? Instead of ay''+by'+c?
👍👍👍
yeah, this was confusing me, too.
I was thinking the same
finally someone said it .. if he do not put y all the solution should change
So is the solution in the video wrong?
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!
calc 2????? I just started doing this in calc 4
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!
Previous video: “fraction”
me: *presses upgrade*
This video: “SECOND-ORDER SEPERABLE DIFFERENTIAL EQUATION”
me: *GO BACK GO BACK!!*
actually these are second order linear homogenous ordinary differential equations, they are not separable.
Seperables are when you can cross multiply....these are linear homogenous
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....
-6r*
Yes it really threw me off
can we pin this off
@@lich3622 is correct
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
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.
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!
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
wdym
@@34_ophuthuan90 Because we say y''=r^2, y'=r^1=r, y=r^0=1
yesssss
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.
Tfw learnt more in 5 minutes than a week of physics lectures, not even kidding. I haven't watched past 5:00 yet
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
The legend continues...Best engineering TH-cam 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.
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
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 TH-cam.
I'm from Romania, but the first time when i will travel to America I will give u more beers than u can drink. Thank you. I'm first university year and u save my math exam! RESPECT FROM ROMANIA
YOU SAVED MY GRADE! THANK YOU!
25 minutes better than 3 hours of lecture. Thanks a lot
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! 🙏❣️
People!! Did he just taught us solving differential equations in such an easy and beautiful way such that we're not going to forget it in this life??!
Honestly, thank you so much for this! You are carrying me through my maths module at uni
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
You know you are doing a great job when the video is still being used after 3 years !!
Thank you so much
My vision is to be a great maths teacher 1 day. You are a stepping stone. Thanks alot man.
My 3rd year of general physics and still watch yours and Houston maths prep videos you two are legends
This 25 min lecture came in clutch for my exam in 6 hours , thanks a lot.
Thanks for helping me increase my confidence. You patiently explain incredibly well.
Indescribably helpful, pretty sure you are literally the best teacher in the universe.
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.
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
If there was TH-cam when I studied university, I would score higher in mathematics than I did; simply because I would follow your highly instructive videos rather than attending boring lectures.
Thanks
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!!
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
Just wow, Mr. you should be really proud of what you represent for som many students. Your platform is gives so much hope to people all around the world, each one of your videos is a step closer to our goals. Thank you so very much and Merry Christmas, Professor.
I appreciate when people explain like him rather than writing Ancient Greek on the board and expecting us to understand from the get go.
hey bro ,(9:20) for 9y'' +24y' +16 =0 ,isn't it a none-Homogeneous equation for the constant "16 " ,or you mean "16y " instead.
Yeah I think he did it again in the y"+8y'+25=0 one.It has to be 25y otherwise you cannot use the e^rx when you plug it in as a solution and then come up with the ar^2+br+c=0
Great video tho.Helped me understand the topic.
yeah i just noticed that too
He did the same thing w the problem immediately after with y''+8y'+25 = 0
You are the best lecturer ever. You need an award. In lecture time this would have cost me around £400
i literally am in love with u. where tf would i be without ur videos?
same I think I would have failed my first test.
At 6:59, shouldn't this 9 be 9y? And similarly at 9:00, shouldn't the 16 be 16y?
I think so either... sir.
At 7:01 it should be 9y instead of 9
and 9:11 should be 16y instead of 16
and 12:58 should be 25y instead of 25
@@kolemakinde No bro, you should understand the word "Order" of differential equation, it's different
@@lies4212 no no @Kole Makinde is right
dude you clearly dont understand the subject
Thank you so freakin much! You help me understand and learn much more than my "professors", you made me like math again :)
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
You deserve all my tuition man
very good very good , this is very assuring. sometimes one feels lonely, however a hero comes to the rescue. that hero is you
I've been procrastinating for hours thinking this is the hardest thing ever but u explaining anything makes it so easy ty so much
Your teaching style of explaining th material then immediately going into practice problems is great! Thank you!
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!
Ong I can’t believe I understood these homogeneous equations u summarised my entire year in 25 minutes
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
U the god of math tutorials, simply unmatched.
If you had programming tutorials you would be the almighty
I love these videos so much, like I can't even begin to describe how much they have saved me!!
I really appreciate your help thanks a lot I have been struggling with that two whole days not doing anything else. Thanks a lot brother
Best channel I ever see in my Life 🙇🙇🙇🙇
enga irukinga SIR .
You made me clear my semester exams
swear if i become an engineer im gonna send multiple donations for this guy, bro is keeping my boat afloat
My professor basically just gace me a book and told me to figure everything out on my own... thank god for youtube
you make differential equation so easy, thank you so much for boosting my exam confidence
U wiped my tears I was drowning into pool of darkness now am seeing light and clearfull 1,I thank u very much more appreciation ✌✌✌✌✌✌✌✌✌
9:07 the equation for the question should be 9[(d^2)y]/[d(x^2)] + 24 dy/dx + 16y = 0 instead of 9[(d^2)y]/[d(x^2)] + 24 dy/dx + 16 = 0 [we are missing the `y` for 16y]. the final answer is correct though.
Same thing for the equation for the question at 13:00 should be y'' + 8y' + 25y = 0 instead of y'' + 8y' + 25 = 0 [we are missing the y variable at the end]
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!)
You're blessed
you're a great teacher and i love your teaching style
THANK YOU!!!! You have no idea how much you just helped me. Thank you brother, blessings!!
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
you are t the best tutor ever. your channel has helped me alot in my studies.
I'm so happy I came across this channel! Learned a lot in these 25 mins
Thank God I read this comment otherwise I would have forgotten to put the playback speed on 2x
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!
Thank you sir! Mas natututo ako sa inyo kesa sa instructor namin na puro pagawa lang alam.
At 7:00 shouldn't the equation be 9y, not just 9. Same thing at 9:05, it should be 16y not 16. If you are talking about homogeneous equations.
in the second example, a 'y' must be attached to the '9' in the given equation to end up with a c value of 9 in the 'r' equation, no? The equation shown would be non-homogeneous.
3rd example does this as well
it seems many of the examples do this. correct me if I'm wrong but believe this is a big mistake.
Thanks so much for the video, but I'm kinda confused. In the second example y'' -6y'+9=0, 9 isn't a y term so how was the formula still able to work
I am also confused at that part
This is a mistake and I’m sure he just solved it with 9y instead of just 9
Thank you very much, I was also asking myself the exact same question..
You explain this so much better than my professor. I love you
At 3:31 the roots of the equation will be 3, 2 instead of 4, -3!! The values of a,b,c will be 1, -5,6 respectively!!
On the second example, did he forget to put y on 9 or you can still use quadratic equation even if 9 is only 9 and not 9y?
9:40 it 9y''+24y'+16=0 and our c=16 value doesn't have y :( ???? since generally it ay"+by'+cy=0 please help
9:20 there is no y term. Also it is the same for the next question. I am confused.
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 ❤
Have been waiting forever. Thank you. More of differential calculus.
one of the amazing teacher in the world
Thanks so much for making these things so much simpler to understand man.
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.
Hi
Thank u for all vidoes in this page i'm really happy to be one of this big learning page
With out u im nothing
From africa sudan thank you sooooo much teacher
All best wishes💗💗💗💋💋🇸🇩
Your voice always heal my hearts mathematical problems 😇👩🎓🙏
THIS IS THE VIDEO THAT FINALLY MADE ME UNDERSTAND
Thanks a lot tutor, this is well explained way better than the lecturers in collage.
May God bless you and keep you for us. So that u may continue helping us
Good sir, you deserve the world.
Stay blessed always. Best teacher on youtube ;)