This guy is my definition of success... smart, fit, and loves what his doing!!
@sugoi9680 Жыл бұрын
For real bro
@f_add_mebowshot56772 ай бұрын
real af
@ThatDereKid5 жыл бұрын
"...Partial fractions. Let's take a moment to review that." THANK YOU! I cannot thank you enough for reviewing things. So many teachers are prideful and pretend that students shouldn't have to review or that it isn't worth class time. I'm taking Diff EQ this semester at a top 50 university and that is what my teacher did about partial fractions. Meanwhile you walk through an example that is properly explained and point students toward a full Calc 2 video (that you MADE) in case the singled out examples here makes them realize that they really need to review the concept in full. Your teaching is proof that many others who teach with a false style of "practical arrogance" simply have no excuse. Thanks.
@ProfessorLeonard5 жыл бұрын
You're so welcome! I think it's an absolute shame that many professors consider arrogance to be acceptable in academia. It's VERY hard to create a quality learning atmosphere in such conditions. Best of luck in Diff Eq!!
@ThatDereKid5 жыл бұрын
Thank you Professor! Your videos will play a large role in my success.
@SewerShorts28 күн бұрын
@@ProfessorLeonard dude i wish you were my teacher
@hslowmarch5142 жыл бұрын
Sometimes I have to watch his video at least twice because of his biceps First time: His muscle.. Second time: very detailed explanation.. Got it!!
@ElNietoPR6 жыл бұрын
I no longer take math, but I still come here to like your videos. Thank you!
@E.C.REDEEM3 жыл бұрын
Professor Leonard said, "Im proud of you, you're solving differential equations, that's pretty cool". Thank you professor Leonard, you have helped me through my time at community college and have helped me transfer to a 4 year university, Thank you!
@hollybee59493 жыл бұрын
"you're solving differential equations, pretty cool. I'm proud of you , man" My life force returned at this very moment
@vespermwin-banzora3552 жыл бұрын
I really enjoy watching the works of Professor Leonard. He is indeed a true mathematics teacher who takes his time to present his content. I admire him so much. Thank You Prof.
@pungency1016 жыл бұрын
can we have a video of your gym routine? biceps the size of boston right there
@onemanenclave6 жыл бұрын
I second this motion.
@Peter_19866 жыл бұрын
If you want to get buff in general then focus on compound exercises, such as Squats, Deadlift, Military Press, Bench Press, Pullups, Walking Lunges and Farmer's Walk. Basically pick 3-4 of those exercises each day and you can't go wrong.
@Peter_19866 жыл бұрын
And if you want to focus some extra on the biceps, then Hammer Curls and Concentration Curls might be worth a try. But you should also focus a lot on the triceps, since it actually takes up 2/3 of the arm, and for that I recommend Cross-Bench Tricep Dips. But both of these muscle groups will get a lot of training from the aforementioned compound exercises as well.
@ULGolf5 жыл бұрын
gradient operator crossed with F
@vantaylor95335 жыл бұрын
@@dal-qi3gv the equation for a concentrated curl is sqrt(50x) on the interval [0,100]
@hourz2 ай бұрын
Man its crazy to me I was watching his pre algebra course in 2020 at 30 years old with basically a 4th grade math level which was stated on my records on my HS graduation 12 years ago. now I'm in calculus 2 about to graduate from my community college after this fall semester. I hope I don't hit the celling with calculus 2. however, what I learned about myself I am not afraid of failure and persist until I make it. Thank you professor Leonard!
@zafarkhan5042 Жыл бұрын
We as students could never thank you enough for what remarkable contribution you have in building our concepts firmly.You have definitely helped hundreds if not thousands of students. I owe you my academic success prof leonard!!!!
@LmaEx5 жыл бұрын
I finally passed calculus 2 now i can watch this 🤣💔
@diy-projects5 жыл бұрын
That's a whole mood right there
@4seth3 жыл бұрын
I am taking this in calc II :(
@sydneybrown74734 жыл бұрын
Thank you for always explaining the steps in integration, had a problem with partial fractions in lecture today and the professor didn't go through the steps at all and no one remembered how to do them. Your videos saved me in multivariable calculus, and I look forward to learning with you in differential equations as well!
@photon27245 жыл бұрын
dude. You have no idea how USEFUL your videos are to me!!! I wish i had discovered you before my exams...
@kiyoponnn5 жыл бұрын
RIP
@AdamPerkinson8 күн бұрын
I'm currently in community college studying to get my associates to transfer to a 4 year school for an engineering degree. This wouldn't be noteworthy unless I also mention the fact that math was consistently my worst subject growing up, to the point where math was the only class that I ever failed in high school. With that being said I got an A on my last Calc 2 exam using your videos and your explanations, passion, and encouragement are all very large parts in my success on that test. I'm writing this comment so I can come back in a couple of years and link a picture of my engineering ring that will be mine in no small part thanks to you :) thank you!
@frustrated38804 жыл бұрын
It might be late or maybe some people have already commented this, but you can actually *set the arbitrary constant 'c'* as *ln|c|* and combine it with the term that uses 'ln', too.. for example, in the 1st problem, ln|y|=-x^2 + c1 can be written as ln|y| = -x^2 + ln|c1| , then ln|y|-ln|c| = -x^2, to ln|y/c| = -x^2. Putting 'e' on both sides will result into e^ln|y/c| or y/c = e^(-x^2). You will then finish with the solution which is *y=ce^(-x^2)* without going through an additional process..
@bmoreno-ri8 Жыл бұрын
Why's that legal? I mean why c = ln|c| ?
@frustrated3880 Жыл бұрын
@@bmoreno-ri8 because C is an ARBITRARY constant. Meaning it can be anything you set it to be. The natural log of a constant is still a constant, so it’s valid.
@bmoreno-ri8 Жыл бұрын
@@frustrated3880 so I can also do things like a^c and that's still a constant and it's legal?
@frustrated3880 Жыл бұрын
@@bmoreno-ri8 yeah, and you can set it as stuff like sin(c) as well and you’ll be fine :)
@actuary321746 жыл бұрын
Are you planning on covering partial differential equations in this course? Thank you for all of your efforts.
@HS-yx5by4 жыл бұрын
You are seriously my saving grace. Thank you so much for these! The only reason I passed calculus 3 and now calculus 4 is because of you. Wishing you all the best!
@joshuaingya44184 жыл бұрын
Sir, you are my best maths tutor ever. I have understood all you with no stress at all. Fortunately, I'm currently being taught differential equations in the university at the moment. Thank you sir.
@giabachng4 жыл бұрын
Thank you, Professor. I think other people already said how much we appreciate these lectures.
@krystygaytan668Ай бұрын
the pep talk he gave somewhere in here brought the sparkle back into my eye. thanks professor.
@ricardosaldana31646 жыл бұрын
Let's all share his channel and get the Prof. To 300k subs by the end of the week!!! He's almost there. Hit up all the math blogs!!!!
@hniang25 жыл бұрын
he's got 340K now:)
@samrayousaf90093 жыл бұрын
Now he got 487k subscribers;-)
@harshityadav20943 жыл бұрын
Now he's got 525k subs :)
@NemoTheGlover3 жыл бұрын
now 560k
@benaatyang29403 жыл бұрын
@@NemoTheGlover and now at 564k....perfect
@Rick_Sanchez_Jr.6 жыл бұрын
Thank god for Professor Leonard, we just started these topics in our Calc 2 class and it barely makes sense whatsoever, Professor Leonard explains it so much better. Thank you.
@goldengeek33205 жыл бұрын
@@kyle1538 Standard calc 2 stuff... separable differential equations are about as simple as they come. I'm watching this for calc 2 as well. I was too lazy to shuffle through his calc 2 videos.
@jingyuzhang2478 Жыл бұрын
This is truly gold, i'm studying it for my coming spring semester, you are the best teacher ever!!!
@ddahstan68762 жыл бұрын
Super exciting time at this end because the semester is about to be over, yet I want to iron out some last minute crinkles. Your videos are nothing short of miracles! Thank you professor!
@DaHoKilla8 ай бұрын
Leonard you are the goat im so glad to have found your channel, saved me in calc 2,3, and now DE!!
@christopherbarnes69765 жыл бұрын
Thank you for taking the time to show the integration techniques
@jcguevara44656 жыл бұрын
Woooo glad I remembered about this channel. I’m not in school but I love watching these videos. Thanks so much
@icee5626 жыл бұрын
I dreamt of the day he'd post this video. Even though I took Diffy q's already, I will Definitely watch these as refreshers.
@nazmiepatel7202 ай бұрын
Best lesson I have had. Thanks Prof
@jesserosas707 ай бұрын
when he's swole and can do calculus 😍🤩 u da man prof leonard
@anonymoususer4356 Жыл бұрын
I greatly appreciate your video's. I've been watching since Calc 1.
@fitwithgonz6 жыл бұрын
Prof teach us how to gain muscle too 🤣🔥♥️
@hergisnkote53953 жыл бұрын
Go to professor Leornard IFBB pro
@hmassociates29473 жыл бұрын
Deca
@Moshito_m Жыл бұрын
😂
@detectiveconan59312 ай бұрын
you are more than amazing, better than any math teacher i ever seen
@petterborja3 жыл бұрын
Thank you; it's really difficult to find good material on this, and this couldn't be better.
@zomnom82896 жыл бұрын
Thank you Professor Leonard. I didn't even know I was doing something wrong in my Dif EQ class until now because my teacher doesn't tell us what we did wrong on quizzes or exams. Thanks so much.
@iancoleman63523 жыл бұрын
My professor cares about math and making sure students understand the material but, especially with online classes, it is much more difficult to interact and the presentation quality of the class goes down. This translates to a lot of frustration and confusion on the students' end. Your video presentation is excellent and I am greatly appreciative of the massive amount of examples used in the videos and the thorough explanation of each one. Seriously, thank you. You make mathematics accessible to a larger audience.
@jazminwalls25913 жыл бұрын
I can not THANK YOU ENOUGH for going over step by step. Unfortunately I did not find you until the 3 days before my final was due so I will be completely honest, I struggle with integrating. I'm taking calculus 3 and differential equations at the same time and wow it is a lot. But you actually give me some hope of passing. Thanks again!!!
@aznperswazinable5 жыл бұрын
My dude, you make understanding Diff EQ so well !
@metalmanny00005 жыл бұрын
Thank you so much professor. I'm taking Diff Eq. this semester and not going to lie i have been lost since the beginning of class,and my professor is difficult to understand(language barrier). After watching this video( and doing the practice problems before you worked them out) i feel really confident about this section and will do so with the other cases. I have no doubt that i will be ready for my first exam next week thanks to your awesome lecturing videos.I hope to see linear equations soon, will be taking that in the fall.
@neondino97902 жыл бұрын
My professor didn't really explain this well for me to understand but after watching this I have a better understanding of Separation! Thank you!!
@noel25775 жыл бұрын
1:20:08 I did that on my own , but Leonard's reaction had me dying!!! thanks
@thegreatbritishbikeoff2 жыл бұрын
1:19:50 that look when you realize you’ve led you students into the abyss. Love the vids professor. Your love for your craft is inspiring!
@LightCastells2 жыл бұрын
I was so mad....
@miqomargaryan15 Жыл бұрын
There is one thing that Leonard didn't mention here. We cant replace e to the power of C_1 by C all the time because e to the power of any constant can't be zero, so we need to exclude the case when C is equal to zero and then check whether 0 is a solution to the differential equation and if it is so, then we can write C at the place of C_1. Fortunately, without applying this technique, the problems are solved correctly. However, it was an important part to talk about.
@auradkamkar6274 жыл бұрын
This is where the fun stuff happens so pumped for this lecture!
@JITCompilation2 жыл бұрын
Thank for teaching me about differential equations, Stephen Colbert
@Shadowbrothe2 жыл бұрын
When you asked if that made sense, I raised my hand like I do in all your other videos!
@donaldjosuelopezbarrios84102 жыл бұрын
Thanks for this videos Professor, i can get it now
@gastineayikoni39242 жыл бұрын
u are such a magnificent proff that I can't enjoy maths without watching ur videos I pray forMore blessings for u
@gagaaicee43675 жыл бұрын
Thank you so much for all these amazingly helpful videos!
@snah703 жыл бұрын
It's a good thing that you're careful about handling the absolute values correctly, but you should also worry about not dividing by zero! For instance, in the very first example, dy/dx'=-2xy holds if and only if dy/y=-2x dx OR y(x) is identically zero. In your computation, C = plus/minus exp(C_1) is an arbitrary NONZERO constant (since C_1 is an arbitrary real constant, and the sign is arbitrary), so you don't actually get the whole general solution, where C=0 is also allowed; this case corresponds to the exceptional solution y(x)=0, and needs to be added in “by hand” at the end.
@IrinaHerreraYT4 жыл бұрын
You are an amazing teacher!!! You make everything so easy to understand. Thank you. You also look like Superman btw, what a math hero.
@kendalladams5975 Жыл бұрын
Missed my math class on this topic cause I was sick. Thanks for covering this!
@yancasanova32263 жыл бұрын
I love you man, I hope for good fortune to you forever!
@MariaRojas-d3z Жыл бұрын
YOU SAVE ME EVERY TIME. THANK YOU
@atpTUBE12 күн бұрын
The Man! Thank you professor...
@abrhamaddisu-ht4qpКүн бұрын
GOOD WORK
@caymanosei-bonsu35064 жыл бұрын
I appreciate that adverts are at appropriate places!
@dargue20212 жыл бұрын
Excellent Series, thank you for your generosity.
@nathanleuck67085 жыл бұрын
Thank you Professor, just had the lightbulb moment
@lindita65506 жыл бұрын
Noo way, l just was looking for this kind of diff equations, btw l wish all the professors would be like you,...☺lot's of love from Kosovo ❤❤
@athelstanrex6 жыл бұрын
kosovo isn't a country
@kevdog_sauce6 жыл бұрын
Thanks a lot bro I really appreciate your videos I'm having trouble right now in calculus 4, I hope that before next semester you can get all the way through matrices and things like that a vector spaces find Subspace and all that
@ahmedalzaabi58482 жыл бұрын
You are the best !!!!!! This really helped me ..
@balbuena12254 жыл бұрын
thank you life saver during this online class thing.
@karla.3836 Жыл бұрын
i was getting frustrated because I didn't understand but damn... you helped me a lot. Thank you so so so much, ill watch your videos from now on.
@modassir.hasan01Ай бұрын
You are the reason of my better grades. What do I even pay my university for?
@theformerknights8538 Жыл бұрын
whether or not on purpose, i will choose to believe the small mistakes he makes and catches are actually done on purpose as they are useful tools for my own learning. I've been stoked that I've caught some 'before' he has. But this leads me to believe it all his plan anyway. I hope you'll be back for more lectures. my current professor could NOT care less about teaching effectively.
@cynthianwosu32372 жыл бұрын
Thank you so much for all of ya videos..is been so helpful.🥰
@Je663844 жыл бұрын
Smart, handsome, and fit professor. Very in depth videos
@mentor13243 жыл бұрын
thanks professor leonard for everything!
@vjosaveselaj37883 жыл бұрын
Thank you very much!!
@AB-gu9ui4 жыл бұрын
@1:21:59 You could also use a simple u sub to find the integral of tan(y)
@Mihiret-r5n Жыл бұрын
God bless you Professor Leonard! You are just an incredible teacher. May Jesus add more wisdoms and knowledge to you!
@PedroSilva-ui9yc5 жыл бұрын
Honestly, only reason Ill graduate financial math uni is because of this legend!
@scorpionesp65102 жыл бұрын
saving me right now. Maaaan. Thank you!
@ayeshaali39903 жыл бұрын
the best teacher here
@dragosmanailoiu95445 жыл бұрын
Great video prof amazing examples at the end may I request harder integrals please
@ti62522 жыл бұрын
this video was a great help keep going prof
@williammendez52096 жыл бұрын
Professor Leonard, will you be looking at PDE's, dirac delta, and fourier series, with this series?
@johnkiserliss1235 жыл бұрын
In the example 2XDY/DX+Y=10sqrx the integrating factor is quite obvious. As it is just looking at you.
@coleabrahams93312 жыл бұрын
16:13 it's called exponentiating. We are exponentiating both sides of the equation.
@NovaWarrior773 жыл бұрын
Am in advanced classical physics. Had to pay this bad boy a visit again.
@Adolf0is0winner2 жыл бұрын
Professor Leonard, you are an excellent teacher and excellent at explaining but it seems that you have made mistake in adding the fractions , no worries as I make tonnes of mistakes on daily basis . Thanks for teach the differential equations . I learnt a lot from you , Jason and organic chemistry tutor.
@Bee-uy2cn4 жыл бұрын
“Were gonna take e -well not gonna take e..hehe” 16:14 i caught that 😂
@julianfernandez55104 жыл бұрын
literally stopped the video and came down to see if anyone had said anything about that LOL
@Micholin164 жыл бұрын
I just noticed it and laughed harder than i should
@jeremybarber21585 жыл бұрын
this guys a great teacher
@Peter_19865 жыл бұрын
Yeah, he has the Overall Quality rating 5.0 on "Rate My Professors", and almost everyone has rated him "Awesome", lol.
@Mahmoudalkasem19974 жыл бұрын
great video thanks for your efforts
@hitm433 жыл бұрын
36:05 The notation on the fourth power in the exponent of the natural log makes it look like the ENTIRE natural log is being raised to the fourth power which is not the case. The argument |1+x| should be raised to the fourth power, not the entire natural log.
@lovesandwich87834 жыл бұрын
The math teacher we all wanted.
@zaynbashtash2 жыл бұрын
Absolute legend
@siyandamaseko23122 жыл бұрын
I love this guy
@moeberry8226 Жыл бұрын
The reason you don’t get y=0 as a solution is because when solving seperable differential equations you are dividing by y in this case but there’s the restriction before integrating that y cannot be 0. And then you handle that case separately at the end or even at the beginning, what ever you choose.
@jeremyfagbola3933 жыл бұрын
I know this your channel is for mostly math but what is your workout routine?
@DanielPerez-mb9hk5 жыл бұрын
Thank you for these videos they are super helpful!
@ahmedaltaleb29303 жыл бұрын
Hello Professor Leonard thank you for the great video I solved the problem before last in a different way and I get this answer y=3/(3x+x^3)+c I was wondering how could I check my answer or what the mistake I make my first manipulation was this x^2 -1-x^2= y^2 -x^2 y^2 is removing the X^2 a wrong move if so where could I found further sources to explain this type of mistake
@gianny29775 жыл бұрын
At 59:20 don't we have to include 2 and then its outside of the natural log so we put it up as an exponent to this fraction of (1-x)/(1+x)? Where does it go? and Thank you so much!!!
@sshilovsky2 жыл бұрын
You missed the solution y(x)=0 in the second example: `dy/dx + 2xy^2=0`. When splitting x's and y's, you divided by y, implicitly assuming it's not zero in any point. Same problem exists in the first example, but the eventual solution was correct. Another problem in the first example though is that +/- is not necessarily a const, when you just hide it into `C` (it actually is a const, ofc, but it has to be demonstrated). Alternatively, instead of checking these steps strictly, we can verify the resulting solution set, and then see if it covers the whole domain of f(x,y). It works for example #1, but not for example #2. Sorry for poor English, I hope it's decipherable.
@nurgulquliyeva72966 жыл бұрын
I laughed so hard to that face after saying "sorry if you did that on your own" and suddenly you get the serious face saying "good job". You are smart, handsome and funny. Oh lord, such a superman!
@namehere6302 жыл бұрын
thank you for this
@lemyul5 жыл бұрын
i like this. my confusion from class is healing
@QueenL4 жыл бұрын
it would be awesome if you do videos of calculus IV, you explained clearly, thanks.
@nunoskid15310 ай бұрын
if you were my professor id def become a math major