No one on this Earth can teach like this man. Knowing something and having the ability to 'teach' that something , even to a lay person, is as rare as hens teeth. He is truly one of a kind , A million thanks Professor Leonard.
Do not be intimidated by the long videos, It will be the only and last video you will have to watch about the topic. It will save you more time in the end. I was struggling so badly in so many of classes because I just find my professors go too fast or use notations that are confusing or unclear. However, after watching Professor Leonard I feel like I finally have a chance in my DE class. THANK YOU so much, actually a life saver.
Professor !!! you are the best professor I have ever seen in my entire life. Just because of you and Only because of you I got A+ in cal 1, 2, and 3. I watched every single videos since the day 1. I mastered those topics so well that I used to teach most of my classmates and whenever they were having trouble and recommended them to watch your videos. You deserve a NOBEL prize in teaching !!!! I need a teacher like you in every course or I wish you were my university professor.
Please support Professor Leonard on Patreon. He is genuinely interested in helping folks unfold the mysteries of mathematics in their college careers. I am an old mathematician from a quarter of a century ago. I support him, and always will. So, please pitch in where you can!
Its one thing being an excellent mathematician, it's another thing to be an excellent mathematics teacher. An excellent mathematician produces a limited number of models during a lifetime and an excellent mathematics teacher produces a generation, mathematicians for now and the future. The difference is EXPONENTIAL. prof Leonard, is perhaps one of the best maths teaching experts ever. Prof Leonard, you are doing an amazing job. Absolutely fantastic.
MAN.. Seriously.. this is one of the most useful videos I've ever found. Literally in 5 hours I'll take my first Exam of the Semester (Differential Equations Class) and I feel more secure about all this topics, this is the last topic we learnt. Thank you so much, man. I really enjoyed the first part of this video. You explaining the origin of the method. Regards from Colombia. Thank You
@@ProfessorLeonard I did not, teacher :( Sorry for the long message, but I considered it relevant to tell you, thank you It was really simple .. I understood more or less well what I had to do. The problem was that my teacher put a really long first exercise that I consider difficult (3y^2/x^2+3x)dx + (2yln(5x/x+3))+3seny)dy = 0, I took more or less 40 minutes doing that and I did not do the others, I failed in the parts of the partial derivatives because of the time :s , I got nervous and one thing led to another.. :s If I had avoided giving the first one so much time and had continued with the other 3 exercises (which I could really solve more calmly) I could have had more time and calm to solve the first one. I still expect my note. Even though I'm really sad, I'm happy with my performance.. I do understand the concepts (mostly because of you).. so THANK YOU :D . Pdt: Is there any video on your channel of only partial derivatives? I want to improve my weaknesses
Professor Leonard, I just want to sincerely thank you with all my heart!!! Because of your videos so far, I got a 100 on my first exam. You don't understand how much your videos has helped me. I was at the verge of dropping this course, but because I found your videos on differential equations, I feel like i can get an A+ on this course. You are seriously my hero, you have saved so many students, you have saved my life you don'teven understand!!! I'm looking forward in seeing the rest of your videos through this semester!! Thank you!!!!!!!
Enjoying your videos Prof. Leonard.Wishing you riches and other blessings. The following subtopics of Differential Equations I would love for you to cover soon: 1. Method of Undetermined Coefficients for non-homogeneous equations 2. Variation of Parameter method for non-homogeneous equations 3. Second order homogeneous and non-homogeneous Cauchy-Euler differential equations 4. Power Series: Taylor and Maclaurin Series 5. Laplace Transform 6. Numerical Methods (Runge-Kutta method)
6 seems unrelated to DE but I'm totally in favor of 1, 2, and 5. These are fundamental to my DE course and were worth about 60% of my exam today. I did basically 100% on the 40% of the course content covered by Professor Leonard. On the other content, not covered..."we'll see..."
Professor, you are an inspiration to many of us. I'm an applied math major and I have been struggling throughout college in my math courses. I've read many different books about differential equations, and I've watched other professors teach it, but none of them compare to how well you teach. Truly you motivate me to work harder and the only thing I wish for was that you were my professor for all of my math classes. It would truly make math so much more enjoyable. Thanks again and I hope to see more videos from you in the future.
I can't stress this enough with this comment here that you helped me a lot in learning calculus and You teach like no other. There's something special about you as a teacher I can't describe. If only I were to say something, I would say you are the definition of a true teacher. Much respect to this man...........
You got me through the math portion of my undergrad mechanical engineering degree and now I'm in grad school brushing up on my differential equation knowledge. I recommend you to every student that asks me for math help. Thank you for everything you have taught me.
Excellent explanations of all the concepts in this video. My professor in class goes through these steps so fast I can never understand what it is happening, I wish he taught more like this.
hello professor Leonard I hope you're doing well and you're healthy in this pandemic time , I just wanted to say thanks for your videos and I keep on recommending my other friends to your channel , thanks for being one of a kind .
I think he's jacked enough, even if he took a year off from the gym, he'd still have biceps the size of our head, unpumped. So I really don't think he needs to.
I didn't know Henry Cavill taught math. But anyways thank you for your calc 2 videos they have helped me so much! I wasn't sure if you would see this on the older videos for calc so I posted on this video to say thank you!
million thanks dear professor, grateful for your nice videos and technics, i couldnt find such a nice a informative and useful vedios in this subject like you did.
I really hope you can give some sort of proof when you get to all the second order differential equations, my professor is just throwing formulas at us and the text book takes hours to get a semblance of understanding.
Always leave your mistakes in the videos because it gives us Earthlings hope that even people who make mistakes can get good at this. In other words, if you (occasionally) make a mistake, it's OK that we (more occasionally) also make a mistake.
Professor you are awesome You and sal khan of khan academy are only people i saw who can make sense of mathematics. Will you please make sense of C.F and P.I in higher order differential equation.
@@jeffcrain9757 i don't know what sal is doing in real life, my dream is to start free education platform like khan academy for indians who don't understand English.
@@abhinavchauhangujjar6456 Do it then! There's a huge language barrier out there. And so many folks starving for knowledge. It's hard for folks who do not speak English to pick up on some of the TH-cam educational feeds. I have seen a number of TH-cam channels in Hindi. I tried to follow the whiteboard, and it just wasn't the same without knowing the language. I am really proud of what you want to attempt. Make it so!
@@jeffcrain9757 yes but i need to earn enough knowledge, relations and money for this, and thanks for appreciation. I believe that in our lifetime we should do something for other people or animals or other natural resources, otherwise it is same for world whether we're dead or alive.
Thanks for the great video. I had a quick question. Is there ever a situation where neither the x-only formula nor the y-only formula produce corresponding-single variable answers? For example, if @34:30 the simplified expression had an x term in it
Professor leonard i hope you read the comments. I am math student at Turkey. Izmir Institute of Technology. i passed Calculus1 , calculus2, Vector Analaysis and Intermediate Analysis with AA grade thanks to your videos. I need Complex Analysis videos from you :D please help me
Sir pls upload Linear differential equations: - Operator D - Rules for finding the complementary function - Inverse Operator - Methods for finding the particular integral - Working Procedure to solve the equation - Two other methods of finding P.I. - Equations reducible to Linear equations with constant coefficients - Linear dependence of solution
Hello prof! I love watching your videos, you explain the concepts from basic. I've a request, can you please solve JEE Advanced level problems also and show us the approach for them too. Thanks in advance!
Observant students should see that *if* we can transform _Mdx+Ndy=0_ into _(M/N)dx+dy=0_ then we have a form _dy/dx+P(x,y)=0_ where _P(x,y)≡M/N_ . If this can be written as _p(x)y_ then we have our friend _dy/dx+p(x)y=0_ , a 1ODE linear which is separable and solvable. But hey, they are not gonna make your tutorial problems that easy!
Where is the singular solution video that was discussed at the end fo this video? I am not seeing ANYONE explaining missing/lost and extraneous/extra solution solutions... Every book I have, every site like Symbolab, Mathway, Wolfram either ignores them or just simply states them.
Are you supposed to get the same answer no matter if you have an integrating factor in terms of y or in terms of x? The final answers are supposed to be equal or no?
Hmm... but what if the integrating factor depends on both x and y anyway, because life sucks? Will it suffice then to just combine those exponentials in some way to get the integrating factor?
No one on this Earth can teach like this man. Knowing something and having the ability to 'teach' that something , even to a lay person, is as rare as hens teeth. He is truly one of a kind , A million thanks Professor Leonard.
Professor Leonard is the only other person who can lift Mjolnir.
😆
😂😂😂
Do not be intimidated by the long videos, It will be the only and last video you will have to watch about the topic. It will save you more time in the end.
I was struggling so badly in so many of classes because I just find my professors go too fast or use notations that are confusing or unclear. However, after watching Professor Leonard I feel like I finally have a chance in my DE class. THANK YOU so much, actually a life saver.
Professor !!! you are the best professor I have ever seen in my entire life. Just because of you and Only because of you I got A+ in cal 1, 2, and 3. I watched every single videos since the day 1. I mastered those topics so well that I used to teach most of my classmates and whenever they were having trouble and recommended them to watch your videos. You deserve a NOBEL prize in teaching !!!! I need a teacher like you in every course or I wish you were my university professor.
Great job on your hard work!! That is very impressive and I'm glad you were able to help other students too. Keep up the good work :)
This is the greatest content hands down. Professor Leonard needs way more support then this. Hands down the best teacher I will ever see!
Please support Professor Leonard on Patreon. He is genuinely interested in helping folks unfold the mysteries of mathematics in their college careers. I am an old mathematician from a quarter of a century ago. I support him, and always will. So, please pitch in where you can!
Its one thing being an excellent mathematician, it's another thing to be an excellent mathematics teacher. An excellent mathematician produces a limited number of models during a lifetime and an excellent mathematics teacher produces a generation, mathematicians for now and the future. The difference is EXPONENTIAL. prof Leonard, is perhaps one of the best maths teaching experts ever. Prof Leonard, you are doing an amazing job. Absolutely fantastic.
MAN.. Seriously.. this is one of the most useful videos I've ever found.
Literally in 5 hours I'll take my first Exam of the Semester (Differential Equations Class) and I feel more secure about all this topics, this is the last topic we learnt.
Thank you so much, man. I really enjoyed the first part of this video. You explaining the origin of the method.
Regards from Colombia.
Thank You
Hope you did well!
@@ProfessorLeonard I did not, teacher :(
Sorry for the long message, but I considered it relevant to tell you, thank you
It was really simple .. I understood more or less well what I had to do.
The problem was that my teacher put a really long first exercise that I consider difficult (3y^2/x^2+3x)dx + (2yln(5x/x+3))+3seny)dy = 0, I took more or less 40 minutes doing that and I did not do the others, I failed in the parts of the partial derivatives because of the time :s , I got nervous and one thing led to another.. :s
If I had avoided giving the first one so much time and had continued with the other 3 exercises (which I could really solve more calmly) I could have had more time and calm to solve the first one.
I still expect my note.
Even though I'm really sad, I'm happy with my performance.. I do understand the concepts (mostly because of you).. so THANK YOU :D .
Pdt: Is there any video on your channel of only partial derivatives? I want to improve my weaknesses
Professor Leonard, I just want to sincerely thank you with all my heart!!! Because of your videos so far, I got a 100 on my first exam. You don't understand how much your videos has helped me. I was at the verge of dropping this course, but because I found your videos on differential equations, I feel like i can get an A+ on this course. You are seriously my hero, you have saved so many students, you have saved my life you don'teven understand!!! I'm looking forward in seeing the rest of your videos through this semester!! Thank you!!!!!!!
Enjoying your videos Prof. Leonard.Wishing you riches and other blessings.
The following subtopics of Differential Equations I would love for you to cover soon:
1. Method of Undetermined Coefficients for non-homogeneous equations
2. Variation of Parameter method for non-homogeneous equations
3. Second order homogeneous and non-homogeneous Cauchy-Euler differential equations
4. Power Series: Taylor and Maclaurin Series
5. Laplace Transform
6. Numerical Methods (Runge-Kutta method)
6 seems unrelated to DE but I'm totally in favor of 1, 2, and 5. These are fundamental to my DE course and were worth about 60% of my exam today. I did basically 100% on the 40% of the course content covered by Professor Leonard. On the other content, not covered..."we'll see..."
4th one is already covered in calc 2 course
@@ricardoalvarez4976 He may have meant solving DE by power series. Messy business that.
Professor, you are an inspiration to many of us. I'm an applied math major and I have been struggling throughout college in my math courses. I've read many different books about differential equations, and I've watched other professors teach it, but none of them compare to how well you teach. Truly you motivate me to work harder and the only thing I wish for was that you were my professor for all of my math classes. It would truly make math so much more enjoyable. Thanks again and I hope to see more videos from you in the future.
I can't stress this enough with this comment here that you helped me a lot in learning calculus and You teach like no other. There's something special about you as a teacher I can't describe. If only I were to say something, I would say you are the definition of a true teacher. Much respect to this man...........
May God be pleased with him, Amen🤲
You got me through the math portion of my undergrad mechanical engineering degree and now I'm in grad school brushing up on my differential equation knowledge. I recommend you to every student that asks me for math help. Thank you for everything you have taught me.
Thank you, Clark Kent, for teaching me differential equations.
I admire you at how easy to get what you try to deliver to us with an infinite gratitude, professor.
Excellent explanations of all the concepts in this video. My professor in class goes through these steps so fast I can never understand what it is happening, I wish he taught more like this.
Even a preschool student would understand this video thanks to this man.
Professor leonard do have the soul of Leonard Euler
I never made that connection! It may be.
@@jeffcrain9757 we never know
Abhinav chauhan Gujjar But Euler didn’t have time for gym 😜. He be solving math problems all the time.
Thanks for creating this videos and making it very simple and understandable for students like me.
Cheers from Singapore.
Thank you very much Pro Leonard like your videos.
I am retired mechanical engineer and I loved the mathematics since the primary school .
hello professor Leonard I hope you're doing well and you're healthy in this pandemic time , I just wanted to say thanks for your videos and I keep on recommending my other friends to your channel , thanks for being one of a kind .
Who cares Superman when there is Professor Leonard. YOU ARE LEGEND!
I wish I'd have a professor like you for all my math classes!
THE GOAT!!! Plz make more videos :( You are the greatest teacher ever!
this is the best maths content i hope you get fields medal
Do you think he keeps dumbbells in his office to get a pump goin before recording?
I think he's jacked enough, even if he took a year off from the gym, he'd still have biceps the size of our head, unpumped. So I really don't think he needs to.
Your pfp is melting my heart
Or his pen is just made of neutron star's heavy matter ;)
Well, either that, or it's from lifting some heavy math every day :J
the respect i have for u sir, you have made me understand so many concepts, thank you.
Thanks for these videos. I like the time you take to explain the material. This has helped me out a lot in my dif eq class.
your videos are a goldmine
Leonhard Euler is a genius. Professor Leonard is a genius. What more is there to say ;p
genius!!! you are a true legend... a hero
Thanks Prof Leonard!!!!, you had save to semesters in a row. You got the best videos on TH-cam, a top fan here
I like your teaching style. I am from India🇮🇳
thanks allot! we really need more people like you.
Wonderful explanation proff. Leo. Thank soooooooo much. All respects to u
appreciate you so much Professor Leonard. thank you. I would love for you to cover how to find the Wronskian for other given different equations
Who the MVP? You the MVP
He can do this all day, his biceps says all. 💪💪
U r the best math teacher ❤
awesome teaching love from sri lanka
Never knew a proof exist !!🤔.Only think I did my entire engineering was mugging this form😂😂.Now feel great to get it. Thank you from India..🙌
its very good way of teaching math thanks allot for all what you do best wishes for you
THANK YOU PROFESSOR! YOU'RE THE BEST!!!!
I didn't know Henry Cavill taught math. But anyways thank you for your calc 2 videos they have helped me so much! I wasn't sure if you would see this on the older videos for calc so I posted on this video to say thank you!
million thanks dear professor, grateful for your nice videos and technics, i couldnt find such a nice a informative and useful vedios in this subject like you did.
I really hope you can give some sort of proof when you get to all the second order differential equations, my professor is just throwing formulas at us and the text book takes hours to get a semblance of understanding.
I'll take care of it.
Helped me get through college math!! Thank you!!!
Thanks proffesor I am preparing for a quiz
Always leave your mistakes in the videos because it gives us Earthlings hope that even people who make mistakes can get good at this. In other words, if you (occasionally) make a mistake, it's OK that we (more occasionally) also make a mistake.
Thanks a lot,sir. Now,l can solve this types of math and again thanks for your great working..
Professor your teaching styl is match from ur physique 😊😊 really great
you made it look so easy, thank you.
Professor you are awesome You and sal khan of khan academy are only people i saw who can make sense of mathematics.
Will you please make sense of C.F and P.I in higher order differential equation.
The Khan Academy material was really good. I just hate that Sal went off on the political tangent.
@@jeffcrain9757 i don't know what sal is doing in real life, my dream is to start free education platform like khan academy for indians who don't understand English.
@@abhinavchauhangujjar6456 Do it then! There's a huge language barrier out there. And so many folks starving for knowledge. It's hard for folks who do not speak English to pick up on some of the TH-cam educational feeds. I have seen a number of TH-cam channels in Hindi. I tried to follow the whiteboard, and it just wasn't the same without knowing the language. I am really proud of what you want to attempt. Make it so!
@@jeffcrain9757 yes but i need to earn enough knowledge, relations and money for this, and thanks for appreciation.
I believe that in our lifetime we should do something for other people or animals or other natural resources, otherwise it is same for world whether we're dead or alive.
We had these type of exact DE in our final even though we had only done ONE of these in the THIRD class of the semester. Bad memories.
WHY IS IT SO EASY WHEN HE EXPLAINS IT AAAAHHHH
thank you so much, i wish you all the best ,keep going
Great work, Thanks
Thank you so much.. Love the way you teach..
Thanks for the great video. I had a quick question. Is there ever a situation where neither the x-only formula nor the y-only formula produce corresponding-single variable answers? For example, if @34:30 the simplified expression had an x term in it
Thanks, Superman
Professor leonard i hope you read the comments. I am math student at Turkey. Izmir Institute of Technology. i passed Calculus1 , calculus2, Vector Analaysis and Intermediate Analysis with AA grade thanks to your videos. I need Complex Analysis videos from you :D please help me
Great job on your scores!! I haven't had a chance to do complex analysis yet, but there are some other concepts I have to get to first.
@@ProfessorLeonard Thank you :)
adam harika anlatiyor cidden
this man is great
Sir pls upload Linear differential equations:
- Operator D
- Rules for finding the complementary function
- Inverse Operator
- Methods for finding the particular integral
- Working Procedure to solve the equation
- Two other methods of finding P.I.
- Equations reducible to Linear equations with constant coefficients
- Linear dependence of solution
Could you also give us some body building tips and lessons please? Really enjoying the math content.
superman teaching calculus helps me understand differential equations
great video. I learned how to do these problems and I got pretty fast at it, but now I could derive the equation if I somehow forget it 😆
@41:54 there also needs to be an integral sign before g'(y)
at the 41:00 mark, why are we integrating -3x^3/y^4? Shouldnt it be -x^3/y^3?
Great explanation! Thanks a lot.
yo does anyone know what school he is teaching at? thank you professor leonard you are a godsend by the way.
Super man is teaching us math😝
Thanks, really helped a lot.
You are the best
You are the BOSS! Thanks alot🖒✌
Thank you Professor Leonard ^_^
are you gonna make a video on laplace transformations ?
Great video. Thank you
you are amazing man!!!
Hello prof! I love watching your videos, you explain the concepts from basic.
I've a request, can you please solve JEE Advanced level problems also and show us the approach for them too. Thanks in advance!
1:02:07 leave me alone I did it using bernoulli.
How can I even focus on the math when he makes me wanna go to the gym gah damn. When are the workout videos coming out
You the best
i watch these videos at .5 speed so I can stare at his biceps for 3 hours
@@Rahul-cb4jb and there's nothing wrong with Juan or your dad.
The 30th DE video and we got to this topic on the second week...
Observant students should see that *if* we can transform _Mdx+Ndy=0_ into _(M/N)dx+dy=0_ then we have a form _dy/dx+P(x,y)=0_ where _P(x,y)≡M/N_ . If this can be written as _p(x)y_ then we have our friend _dy/dx+p(x)y=0_ , a 1ODE linear which is separable and solvable. But hey, they are not gonna make your tutorial problems that easy!
Thank you Sir
I skipped my zoom lecture, to watch this video. Because I want to actually pass my Midterm.
Thank you
thank you so much
Where is the singular solution video that was discussed at the end fo this video? I am not seeing ANYONE explaining missing/lost and extraneous/extra solution solutions... Every book I have, every site like Symbolab, Mathway, Wolfram either ignores them or just simply states them.
Are you supposed to get the same answer no matter if you have an integrating factor in terms of y or in terms of x? The final answers are supposed to be equal or no?
Hmm... but what if the integrating factor depends on both x and y anyway, because life sucks? Will it suffice then to just combine those exponentials in some way to get the integrating factor?
Could the second example be solved as a homogenous first order equation,after we multiply by the integrating factor?
thank you sir!
29:47 from here
ur the man
thanks sir..
Thank you!
You look like if leonard of big bang theory went to regular gym
Proud you.