It's pretty amazing how Sal explains such a vast number of subjects so clearly. I have no doubt he glanced at a textbook briefly before trying to briefly explain this, whereas many professors who have been teaching the same thing for some 20 years on tenure just seem to either ramble or blow threw things as if every student is a genius. Thank you Sal! This is a brutal semester in which neither my book nor the professor are easy to comprehend! I know your lessons are easier partly because you do not push theory as much as application, but the theoretical explanations are even worse to follow without understanding what you are doing on a higher level!
It's pretty sad when I learn more about differential equations watching these 10 minute videos that when I sit through my 50 minute differential equations class. Thank you so much for doing theses awesome videos!
I'm pretty sure I have ADHD now I've watched from video 1 to now in 2x speed cramming for an exam... You know what? Still better than lectures and I understand it all in one go and am doing the examples as you are goign through them and I get them!
You damn rock. I learn more from you. The lecturers in the uni should learn from you. They don't know how to teach. Ego killed them all. You are my man.
that statement is partially true; the ability to learn on your own is integral to your courses later on and your future career. You're just paying for the degree, in a sense, so don't think that college is like high school.
@khanacademy A differential equation is homogeneous only if the term d(x) in your case is equal to zero, i.e. there is no term which does not include a function of the dependent variable. Your previous videos were actually on homogeneous coefficients of differential equations, which is something completely different.
im doing this in my a level further maths (FP3) and this is one of the most helpful videos i have watched as this is really quite hard :) thank you so much XD
My book expects me to solves nth order linear homogeneous differential equations with constant coefficients, so this didn't really help me much. Could you please do more than just 2nd order?
Stephen Davis , Sal can do nothing for dumb people like you. I guess,you can't even solve a second order equation,can you? But you are solving nth order equations in your dreams. ha ha, what a fool! Learn the basics first, did you understand, kid?
so is it homoginus or HOMO - genious ? my teacher says homo- genious LOL i thought it was funny great video btw, I probably would NEVER get my bachelor in engineering without you! you are a LIFE SAVOR!
@charliesierra100 He is writing on a virtual touch-pad-thing with a pen, that's connected to the computer. Even though it looks like he writes with the cursor, it's only a tool to make you aware of where he's working on the screen. :)
@SirDigby01 There are too few true polymaths any more. I mainly come here for the pure math videos, but the broad scope of stuff he does is impressive.
So what i learnt from this video is that the *solution* of an homogeneous bottle of milk is always empty and this can be used to find the properties of the glasses of this milk
Hey, in my Calc class right now, we're doing a bunch of really weird stuff where the differential equation is supposed to be represented by L(D)(y) = 0 where D is a linear transformation from C^1 -> C^0 and a whole load of other junk I don't understand. It's really similar to this, but they're not quite alike, are there any videos that would explain this stuff to me? Preferably nth-order instead of just second-order.
No, the pronunciation is wrong - he is pronouncing homogenous, which is a completely different word with a completely different meaning. Homogeneous is pronounced hoh-muh-jee-nee-uhs.
It's pretty amazing how Sal explains such a vast number of subjects so clearly. I have no doubt he glanced at a textbook briefly before trying to briefly explain this, whereas many professors who have been teaching the same thing for some 20 years on tenure just seem to either ramble or blow threw things as if every student is a genius.
Thank you Sal! This is a brutal semester in which neither my book nor the professor are easy to comprehend! I know your lessons are easier partly because you do not push theory as much as application, but the theoretical explanations are even worse to follow without understanding what you are doing on a higher level!
Sal khan is a walking polymath. He should be sent back in time to civilize ancient pre-scientific cultures.
> _"but the theoretical explanations are even worse to follow without understanding what you are doing on a higher level!"_
true
@@yash1152c jj w😊èw5w5r😅e63565
It's pretty sad when I learn more about differential equations watching these 10 minute videos that when I sit through my 50 minute differential equations class. Thank you so much for doing theses awesome videos!
I wish my diff eq class was 50 minutes. Add an hour and that's how long mine is. Also, feel the same way though.
8 years past this comment and new students (as me) still go pass through the same thing......
@@karimlababidi1 relatable
Mmmmm I guess schools never change huh
I'm pretty sure I have ADHD now
I've watched from video 1 to now in 2x speed cramming for an exam...
You know what? Still better than lectures and I understand it all in one go and am doing the examples as you are goign through them and I get them!
I swear Mr Khan must be one of the most intelligent people on earth. He knows SOOOO much.
Anyway thank you this is really helpful.
3 hours lecture in 25:16 minutes 🤯
you should upload this in 10p or 9p. it is way too hd
+JaaricusW I didnt notice :)
+Mehmet Yeşildere this was 9 years ago mate
Let's all reply to him each year adding up a year to "This was Year=Year+1 ago mate"
10 years ago mate, hahaha not that I've seen this comment before but I needed this vid because I've got an exam tomorrow :D
this was 10 years ago mate
i actually look this stuff from Khan before going to my lectures.. like a boss :D
I'm currently teaching myself this 5 hours before my exam and this is so much help thankyou
how did you do? :)
Terrible, to be expected really
Ryan Terry LOL
oh well..i barely got mine :d .better luck next time
How is the test now😊
I was in class 3 when this video was uploaded...& Now I'm studying Engineering ....Time flies 🙂
This video seemed to be more a proof of Linearity than anything else.
homogenous and homogeneous are different words that mean different things
no, they're not! at least not in this context
Who cared the problem is just to understand the concept
You damn rock. I learn more from you. The lecturers in the uni should learn from you. They don't know how to teach. Ego killed them all. You are my man.
Good teaching.
Pls do you have videos on wronskian?
that statement is partially true; the ability to learn on your own is integral to your courses later on and your future career. You're just paying for the degree, in a sense, so don't think that college is like high school.
@khanacademy
A differential equation is homogeneous only if the term d(x) in your case is equal to zero, i.e. there is no term which does not include a function of the dependent variable.
Your previous videos were actually on homogeneous coefficients of differential equations, which is something completely different.
I was looking for differential equation solution in Unforced Spring Mass Damped Oscillatory Motion and then I found this. Thanks. Saved my day.
Ah yes india spotted
im doing this in my a level further maths (FP3) and this is one of the most helpful videos i have watched as this is really quite hard :) thank you so much XD
khanacademy > lecturers
thanks brah
Awesome how many corelations there are between algebra 2 and linear algebra. Amazing feeling when the concepts of the two come together.
The linearity arguments are also valid when we use a(x), b(x), c(x) for A,B,C.
Why did you skip first order linear DE's??.. this is great though.. thank you
It’s homogeneous because of it equaling 0
exactly what I wanted thankyou sir
how are you so good at writing with the mouse? it's simply amazing
its not a mouse
well explained....thank you so much
My book expects me to solves nth order linear homogeneous differential equations with constant coefficients, so this didn't really help me much.
Could you please do more than just 2nd order?
Stephen Davis , Sal can do nothing for dumb people like you. I guess,you can't even solve a second order equation,can you? But you are solving nth order equations in your dreams. ha ha, what a fool! Learn the basics first, did you understand, kid?
It might be too late for you, but for others: he does that in the very next video (:
2nd order is homogenous cause if first order is a constant then the derivative of a constant is 0?
Thank you
relax champ. he's doing you a huge favor regardless of whether or not his pronunciation is correct.
so is it homoginus or HOMO - genious ? my teacher says homo- genious LOL i thought it was funny great video btw, I probably would NEVER get my bachelor in engineering without you! you are a LIFE SAVOR!
This is very helpful.
Good Method sir
Why we should take zero only , for homogeneous?what is the actual meaning?
@EmbraceTheThunder Try using matrices.
Homogenous equations f(x,y) are so called because f(lx,ly) = l^n f(x,y). I.e. the variable expressions are of the same power.
@charliesierra100 He is writing on a virtual touch-pad-thing with a pen, that's connected to the computer. Even though it looks like he writes with the cursor, it's only a tool to make you aware of where he's working on the screen. :)
Best explanation for why sum of the individual solutions is also a solution. Appreciate it!
this is so much fun!! :)
Incredible
great help
I am here to do a little review, great video
i think we can call the equation homogeneous because we can multiply 0 by y^1 or (y')^1 so every term will have same power..
I just noticed that this video was uploaded in 2008... it's been 14 years
khan academy is the best
It is a great video that explained the concept clearly and amazingly. Thanks for making these video and thank you!
dude you're awesome! thank you! i'm totally subscribing.
amen. they're just note reciters
Thank you for making these videos, they are are so concise.
Isn't it "homogeneous" rather than "homogenous"?
omg ur r truly a life saver !!😢
i am watchng at end of 2020
thanks alot
THANK YOU SO MUCH FOR THIS
unbelievable video!
Thank u so much ☺
@SirDigby01 There are too few true polymaths any more. I mainly come here for the pure math videos, but the broad scope of stuff he does is impressive.
So what i learnt from this video is that the *solution* of an homogeneous bottle of milk is always empty and this can be used to find the properties of the glasses of this milk
Actually, his pronunciation is also correct, check dictionary (dot) com.
so, is g(x) times h(x) a solution?
Nice teaching coach!!!
You really should clarify that you make a mistake by mispronouncing homogeneous. It might seem trivial but math is in the details.
thanks sal!!!
Will subtraction of two solution also be a solution?
Hoh-moh-genius
Hahaha im smart af literally noone in the world thought of this i cant believe it im the smartest person in the world
lmfao
@Platemaster I love that picture.
is 9:10 or thereabouts proof of the superposition principle?
wait???? so for 2nd order differential equation can have more then one solution?
sir..how to solve if we have (y')^2 in the equation?
Mohd shahzad it becomes non-linear.
HE IS LEONARDO DA VINCI THE PAINTER....COZ HE SWITCHES COLOURS
you will definitetly see me in the next video ...
you have a radio voice! lol thank you for the videos, they are awesome!
Dude you are so freaking amazing!!!!!! thank you sooo much!
you rock
wow, came to review this 9 years later and found this. You still rock!
Don't wanna go to class anymore after watching your videos.
Can't go anymore due to coronavirus
Hey, in my Calc class right now, we're doing a bunch of really weird stuff where the differential equation is supposed to be represented by L(D)(y) = 0 where D is a linear transformation from C^1 -> C^0 and a whole load of other junk I don't understand. It's really similar to this, but they're not quite alike, are there any videos that would explain this stuff to me? Preferably nth-order instead of just second-order.
I think that's systems of ODE
its 2021 , yet ...
@ZhangyXD some of those MIT vids are pretty good ... Arthur Mattuck calculus videos..
x2 speed is the one
milk = 0
*smokes cigar* BRILLIANT
what possible excuse DO YOU HAVE FOR THIS BEING IN 240P
although the lecture is great but video quality is very bad.. text is not clear
wow
Your a Rock
u rock
no dude he isnt rock coz "Rock" is Dwayne johnson...
great video and awesome tutor :)
@kaisenaro no homo?
WOW
my university should be tipping you my $2000 lol
I said that wrong, didn't I
that milk analogy
@kkc1648 damn straight. I especially hate those who always say, i would assume you knew blah blah blah.
how we find all the solution of x^7=1??
Sakshi Gupta x^7 - 1 = 0. Let (x-1) be a root and factor accordingly.
i luv u
every teacher is crap except you!! you rock!!
No, the pronunciation is wrong - he is pronouncing homogenous, which is a completely different word with a completely different meaning. Homogeneous is pronounced hoh-muh-jee-nee-uhs.
How so
lol homogenous
2019 lol