Checking Solutions in Differential Equations (Differential Equations 3)

[@Gorantrades]

Him: "Im not gonna show you how to do chain rule, thats calc 1 stuff..." Also Him: Shows us how to do chain rule XD Thats the teacher inside him. Cant help it ! HAHA Love this Professor!

[@bonbonpony]

Much better than those books that start the very first sentence with something in the lines of: "Let 𝔊 be a simply-connected Riemannian manifold in a Hilbert space..." :q

[@amk1108]

thats how you know he cares :)

[@yalstudy-life]

love him too . ❤

[@xl000]

this is mid school / high school stuff where I live (14-17 yeas old)

[@aformula4198]

@@xl000 you want a pat on the back?

[@kaizen9451]

I am just finishing uni to become a teacher and my first session with my new class at my new job was Tuesday. I watched your videos the day before as your teaching style and technique is inspiring to me! You're one of the reasons I became a teacher!

[@ProfessorLeonard]

Good for you!!

[@Peter_1986]

@@ProfessorLeonard You currently have the Overall Quality score 5.0 on "Rate My Professors". xD

[@tiger1ac]

So wholesome reading that, currently crying in the club rn

[@drycleanonly]

Hope that wherever you are right now in life you're happy and fulfilled :)

[@VergilPeterson]

@@Peter_1986it’s an easily deserved 5 stars

[@reubenwilliammpembe667]

from calculus 1 till 3 and now in differential Equations you are the best thank you Sir #Respect

[@yalstudy-life]

Yes he is really the best teacher ever i had in calculus ❤

[@seanhunter111]

For anyone who is studying this, I implore you to pause the video when he writes up the problem, try your own solution and then watch him do it. You’ll learn so much more that way.

[@vanehla]

*skips actual lecture and watches this video instead*

[@Peter_1986]

+vanehla I literally skipped the entire "Sequences & Series" part in my Linear Analysis course and watched Leonard's Calculus 2 videos on that topic instead, and I became an expert on that part. xD My own teacher sucked, he always sounded like he was talking to himself and almost never gave any example problems, and always managed to make things as complicated as possible. Leonard was much better, to say the _least._

[@dreadrobertscanady1285]

+vanehla #METOO

[@JDNGAMER]

you have no idea how many times I have done that. I find him easier to follow then other college professors.

[@michaelli5605]

Hahahaha yeah basically throwing my diff EQ course out the window

[@gamesofcontent]

Me in lecture: "Wait? What? How is he doing that? Whats going on? Who am I? What is the meaning of life? Where does the universe end? Start? Is time linear? " Me watching professor Leonards videos: " OH. 2+2=4 Got it."

[@mehdifeizzadeh7598]

damn you just put all of my feelings in a single comment

[@Kanwar6329]

lmao hahahaha this is sooo true!!

[@windyjay4627]

Me in my dynamics class lol

[@jaridwilliams739]

Because youre a life saver, unlike most educators you take the time to make mathematics acessible to the non-experts (students) to the point where they come out with a factastic level of comprehension and understanding. I say they but namley me lol, All your videos took calculus, and made it possible to, if nothing else, grasp it intuivitley. Im honestly glad to see that not only have you begun differential equations but youre still currently posting even now, many college students including myself are very grateful.

[@Peter_1986]

My experience with most math teachers is that they have an annoying tendency to be super-formal right off the bat - their lecture notes almost look like review stuff for other teachers or something. I don't know why so many of them have that super-serious and super-formal attitude.

[@jaridwilliams739]

Laurelindo because most maths teachers are over 40 or 50 and thats how they we’re taught

[@hi-fistereo8987]

9:00 My teacher used to tell us "one prime 2 plus two prime one" to help us remember the product rule for anyone who might be interested. Thanks so much for making these videos!

[@KD-op4pb]

Thanks Prof. Leonard! You saved me last year in Calc 3 and currently making Diff Eq this semester seem like a piece of cake. Keep up the amazing work and positive energy!

[@npn7564]

DAKINGINDANORF metoo!!

[@MusicGameFinatic999]

Straight up the only thing that got me through calculus 3 was Professor Leonard.

[@cubby091398]

@@MusicGameFinatic999 So far I am finding Differential Equations to be easier than Multivariable Calculus. I tend to be better at computation than visualization.

[@yuliapotyrina1120]

I want to become a math teacher, like YOU professor Leonardo!!! i am almost done with call 3 (again thanks to your videos) I am going to take differentials next semester, now it is a thanksgiving brake,- and i have some free evenings to learn a completely new material for me. As a single mother who is an emigrant I have to tell you: you made my college and university possible! needless to say many times i was puzzled on my lectures and after watching your videos i would say; "Oh, it makes sense now!" Again and again my infinite respect to you. You are not only educate the mathematics but literally making a good change in people's life spreading love for mathematics.

[@ProfessorLeonard]

Thank you Yulia and best of luck to you!

[@robertprinsloo6291]

Absolutely the best Maths Professor I have ever seen, listened to, learned from. Hands down. Professor if I could I would go to your varsity for lectures! You speak clearly, concisely, acknowledge your mistakes swiftly and humbly. You speak with passion and purpose! Thank you so much for these videos!

[@2448juan]

I love how he actually writes on the board, had my first class with mine two days ago and all he did was read of slides

[@francescocuccu4218]

This is the 3° video I have watched so far, and I already love you. From Italy, studying engineering.

[@vw7418]

I've been away from school for decades but am considering further graduate studies and have much need for math review and enhancement; Your lessons are simply a much appreciated and helpful gift. Thanks for the assistance and teaching .

[@ABSP5766]

I had my last math course at high school when I was 16. I am now 50 and just graduated in Computer Science. Basically all my math come from online free resources. If I could do it, you can as well.

[@TheBdz13091]

Seeing you posts these videos makes me have faith in Dif Eq this semester, thank you!!!! Also it’s crazy how I feel you care about people wanting to learn more than the professors at my university! Thank you so much.

[@ProfessorLeonard]

I DO care!! :)

[@persea2395]

I can not that you enough for uploading these! My professors changed with no warning, and my new professor is so hard to follow, and hard to focus on. This is really helping me out

[@mohamedramadanmohamed3744]

Your students are so blessed to have you as their instructor.Very entertaining ,very friendly, and you truly do explain everything so well. Thank you for your lessons. By the way thanks for enable automatic subtitles for your videos.

[@notsarthakkumar]

A big thanks professor leonard , ur videos might not be getting the same amount of views as before , but u still help 1000's of people , couldnt thank u more .

[@benhogan7036]

Professor Leonard, you're an amazing person. Thanks so much for all the help you've given us along the way. I wouldn't be here without your videos, and you can't even imagine how excited I am to find out that you took the time out of your own life to create a Diff Eq course. I've never had a professor teach as calmly and clearly as you. Thank you!!!!

[@Razzer_racer]

Im staying on this video because I dont want to hurt his feelings.

[@tedchirvasiu]

369 - 0

[@patch9908]

467 likes - 1 dislike, and I’m pretty sure that 1 dislike was you.

[@soumahakase7124]

596 likes - 2 dislike, and I’m pretty sure you made a second account and gave the second dislike.

[@gabe1006]

I don't think yall understood the joke ^^^^^

[@SteamPunkLV]

lol same

[@undeada-man1920]

Thank you for these videos! My professor is very unclear and made this seem like it was going to be wayyy harder than it really is. You're a lifesaver!!!

[@aneizkaalbertorio8794]

Your teachings are a Blessing. Thank you for helping even students From Puerto Rico. Your lectures got me through Calc 1, 2, and 3, and now through Diff. Eq.

[@banthatiwisdom6783]

Thank you so much Professor Leonard. If it wasn't you I could have not understood these. You highly appreciated from South Africa

[@n1nckstreams]

Singlehandedly saving my mark on my Diff Eq. Midterm for tomorrow. Watching all these videos. You are a saviour.

[@georgiazhou7478]

I am an ordinary Chinese student, and there are a pile of stunning definitions at the beginning of our school's textbook. 🙍🏼‍♀️🙍🏼‍♀️🙍🏼‍♀️🙍🏼‍♀️（broken hearts）As a Chinese undergraduate,～～～discovering the lesson just like discovering a treasure! Thankkkkkkkks！

[@hariflorica529]

Welcome back professor. I owe you my entire analytical mind.

[@gabe1006]

I'll be the first, to say that so far these instructional videos are excellent guides, however, his videos are not the same without the witty remarks. Yet Professor Leonard still has my vote as the best mathematics tutor online!

[@christiancarlson227]

@professorleonard I just wanted to take a moment and say thank you. I would not have learned or probably passed calc 1,2,3 and now diff EQ this summer because of you. You are much appreciated. God bless.

[@martinsanchez-hw4fi]

Proffesor "it´s a lot going on" Leonard. Thank you so much for your content.

[@KS0102]

Re:derivative of xcos (ln x) there should be a negative sign with the sin x because the derivative of cos x is - sin x

[@dicegamenetwork]

it would be helpful to put a time stamp

[@1611-h8x]

He corrects himself later

[@suzannely7441]

The explanation is really what helps me because just seeing problems on the board doesn't tell me much in class sometimes. so thank you very much

[@HeisenbergHK]

You are a wise teacher Thank you for your understanding We needed this preperation before starting I`m so happy you make these videos on youtube for free I live in Iran and this is so helpfull THANK YOU SO MUCH!

[@N7_CommanderShepard]

I wish I had this when I took differential equations two years ago. Still good to look back and review these topics though! Thanks professor Leonard! You were a life saver when I took calc 3, awesome to see you doing videos again!

[@cubby091398]

Thank You Professor Leonard you make Differential Equations seem much more manageable. So far this course seems easier than Multivariable Calculus but there is a way to go. I am reviewing this course over the winter break before I take it next semester and you are making it understandable.

[@latch6974]

carried me through calc 3 now diff eq. My professor is clearly a genius, but I understand it better here

[@tarubewildin6931]

This is perfect timing because im taking differential equations rn!!!!⚡️🔥

[@ibm30rpg]

Not even taking the course yet, but I'm excited to learn this ahead of time from you, Professor Leonard.

[@lafinoutloud]

Thank you for making this so digestible. After two years without any math courses (2 & 1/2 since Calculus 3), I jumped right into differential equations and felt so lost and discouraged. Thank you so much for the help!!

[@thd9041]

Thank you so much. One of the greatest problems in the academic community IMHO is that teachers are selected based on their academic achievements.Nobody seems to care about how they actually perform in class.This is sad.I dont care where did you get your PhD from or how many citations you have, the fact that you make people overcome the frustration, the negative feelings caused by college teachers who might have top CV's but are bad communicators, who make you think science is only for some geniuses, is truly remarkable.

[@nathandaniel5451]

'normies' binge watch anime or Netflix, real men binge watch math lectures!

[@Johnged15]

Todd Daniel FACTS!

[@uhuihiuhuihi]

Damn straight lmao

[@necatiakpnar5677]

I'm watching netflix and lectures, so what am i ?

[@ericam229]

*and women

[@lemyul]

@@necatiakpnar5677 alien

[@nestormacuitl1404]

Hi! I am from Mexico and I like your KZbin channel.

[@LeoSkis00]

Have my first differential equations class tomorrow. This was super beneficial to learn the intro concept for my class. Thankyou!

[@Joe-zz6oq]

Professor Leonard is the hero that we all need.

[@rudnam]

A minor thing but thanks for reminding us to do these on our own first, really minor but makes a huge difference especially for someone who usually goes the easy way out like me

[@marilenastefaniapeponi4808]

you are saving my life with this series

[@danialahmed3005]

i did calc 3 like a few months ago and forgot everything, im starting differential equations now and honestly watching your videos is gonna help alot so thank you

[@loleul]

Его объяснения я понимаю лучше, чем на ru ютубе. Спасибо Professor Leonard!

[@muhammadsiddiqui2244]

I am Telecomm Engineer. My math prof for ODE was awesome. But you are super awesome. I am taking your this course as a student i.e., I have my pen and note book with me properly labelled as lecture # etc. Why I am studying? the only reason is you. Please make a course of applied mathematics aiming at how mathematics is user in our daily lives, business, planning and industry. Solve real life problems regarding the mentioned areas of life. That would be great and will strengthen our belief on mathematics further. Thanks

[@zennologyofeverything7265]

DO you know what the prerequisites are for taking these classes? thank you in advance.

[@muhammadsiddiqui2244]

@@zennologyofeverything7265 You should have medium level command on integration and derivation. This is also called Calculus-I. Prof Leonard's lectures are available on the course. Thanks

[@zennologyofeverything7265]

@@muhammadsiddiqui2244 thanks for the information! I am currently taking Calc1 off prof. Leonard.

[@main1608]

First REAL diff eq video!!!. i love you broski

[@PartScavenger]

This is way better than sports.

[@carlosorodriguezjr4242]

I took calc 1, 2, 3 in 1982 and 1983. Never took DE. I’ve watched all of your videos, relearned calculus and am looking forward to learning DE.

[@swanhtet1]

I am very grateful for your videos, Prof Leonard. Even though you said you might not finish Dif Eq this semseter, I really wish you do because this will help everybody taking Dif Eq class this semester (I believe most of the people watching are taking it now).

[@fatmamoh9109]

I hope that too

[@shutnawi6635]

good examples. i haven't done any math in so long this is refreshing

[@mixwaffles2127]

Perfect timing I'm taking differential equations and linear algebra class this semester

[@nathanfischbach801]

i have been missing this my whole life... so helpful

[@bilastravlog]

Ahh thank you so much! My engineering calculus exam is tomorrow and I didn't know anything about ODE (the fact that my lectures notes doesn't even make sense!!) I'm saved!!!

[@MohamedMostafa-uy5ww]

Professor leonard, Thank you for your videos! You got me through Calc 2, and I am currently taking ODE as a summer course. Your videos are so helpful!

[@bzunderdog695]

Its kinda funny every STEM class I take that requires math your name comes up lol. That's how you know you're goated.

[@cristofuscolombus1175]

How can we understand is it unnecessary to use y2 value in equation? Maybe that could be different equality when it used y2 in equation. 30:02

[@plaid11]

I absolutely love how you explain things!!! I don't know how there are 2 dislikes.

[@robertbrandywine]

So glad you gave the explanation of Y sub 1 and Y sub 2. Khan Academy just put those up there without explanation.

[@igmpvgoa1837]

You got me thru all of calculus with As. Let’s keep it going with differential equations this summer!! Thanks!! 🙏🏾

[@GabrielaGarcia-ff9iu]

i thought i was gonna fail but now i have hope, thank you professor! you gave life to my semester!

[@kelsocampbell1301]

Thanks for posting Prof. Leonard! Your videos really help me a lot!

[@ohbebe14]

I’m not even in cal 4 yet but I’m grateful that you decided to do this!!!! You the man!

[@marcochamba1520]

There is not calc 4, this is called differential equations.

[@Kanwar6329]

I just want to say a huge thank you. Your videos helped me get through Calc I to Calc III. I just wish you had videos on Engineering applications....like matrices. Do you have any videos on matrices?? Any videos on stuff you learn in Calc IV?? Best Kanwar ps the girls at school call you math daddy lmao

[@tylerblaylock6950]

Thank you so much for all of the help with calculus and now DE!!!

[@logicalyash3271]

Hello sir Lots of love from india 💞😗

[@festus8389]

STUDENTS HERE: learn to be a critical thinker. Dont just swallow what Prof. Leonard is telling you. Learn to think beyond, above and around the box. you become a better student that way

[@corynllamoza42]

Have an exam on differential equations in 3 weeks! guess I'm in for an 10 with this super hero!!

[@ThePerfect1077]

Excellent video as usual, it also helped me to check that my differentiation skill haven't got too rusty

[@Shene-z1y]

Best Math professor in the world💖💖💖💖💖💖

[@goldenspark24]

Thank you professor.... DE should be an A with your help... I was scared on how I'll pull through the course and as fate would have it, I found you ❤️

[@6ty8stang]

pregaming diff eqs over winter break with this, thank you!

[@irmakesila585]

What is the last question's answer? I found y2 is not a soln for that diff. equation??Is that right?

[@OriOriOhG]

Quarantine learning. I need it since my teacher is giving us new work without any help

[@39dkwj]

I was terrified of Differntial Equations ever since freshman year. All I heard about it was horror stories and sleepless nights, but prof Leonard makes me think it is not so bad.

[@vintage8678]

I have so much respect for this guy

[@sangphan09]

I’m in Calc 2 right now. I’ll watch anything but Calc 2 right now lol

[@Awesomemaro]

how was cal 4 bro

[@sangphan09]

@@Awesomemaro easier than 2.

[@Awesomemaro]

@@sangphan09 which year you in now?

[@sangphan09]

@@Awesomemaro my last year. Civil Engineering. Once you get over the hump. Everything else is smooth sailing. IMO.

[@yalstudy-life]

Yes he is really the best teacher ever i had in calculus ❤

[@Alekov_]

My virgin math teacher vs the Chad ProfessorLeonard.

[@470bubbles]

I survived calc 3 because of you. DANKE 🙏

[@hassani117]

You are The *Best Teacher*

[@muhammedmtc]

Real heroes don't wear a cape.

[@NovaHolyDays]

Thanks a lot for doing this, Leonard! This is awesome stuff. I wish you the best!

[@jimkeller3868]

This is good for what it is, plugging in values and solving equations. Context would be nice. What are differential equations used for? How do they apply to real life problems?

[@manfungnewmanyu1426]

thank you professor.Your teaching help me fully understand the beauty of math.

[@mikem9270]

I just love how knowledgable you are and yet you still make mistakes. Just because youre a professor doesnt mean you dont make mistakes :D

[@barryhughes9764]

Professor Leonard, thanks for the reply, I will carry on persevering.

[@蔺美云]

Thank you so much professor Leonard. You make me understand higher math. Thank you.

[@əliabdulkərimova]

God be pleased with you,inşAllah,Amen🤲

[@NourElhosseni]

Professor Leonard your videos have been extremely helpful thank you so much :)

[@gabe_5523]

It's 10/1/2019. this video has 1.5k thumbs up and ONLY 4 thumbs down. 4/1500=.0027x100=0.27% thumbs down. Have you ever seen a video on youtube with those stats? Very impressive Leonard!

[@antithesis1900]

Leonard you are the people's hero ;)

[@sergiomedina5520]

Amazing teacher! Nice beginning training with derivatives.

[@nihatdonmezov8354]

I did the y2 ,and it wasn't the solution. Anyone has same idea with me? (Just trying to see if i got it right).

[@kriti4698]

Thanks professor,I finally understood it.

[@ahmedzaher4745]

The best professor ever, thank you a lot

[@robhousehold]

24:44 the derivative of cos should be -sin

[@cablestick]

You're a legend, professor!