2nd Order Linear Homogeneous Differential Equations 2

[zaneacademy]

Khan does a good job explaining

[youmustbecrazy74]

I have to agree with most of these comments. For some reason college math professors don't know how to teach the material. You do a much better job,thanks.

[honeypot11]

omg, everything comes together with your videos i swear. Thank you so much c:

[mdhamiltonvids]

Genius: now i will not be wasting the money i paid to do this uni math course. Thankyou VERY much

[drrobertoboogie97]

You can apply this method to variable coefficients too, but now r=r(x) and y=e^(∫r(x)dx).

[MimiD3]

I WANNA HUG U RIGHT NOW !

[Heavensdoor92]

I think...no, I'm pretty sure you just helped me pass my math exam... and I think I love you!

[cpmajai]

i love the structure of your videos. many professors with math degrees can't even formulate a sentence as clearly as your whole 9 minute videos

[princemikechoy]

i dont understand y u chose e^x...my teacher told me its trial and error to find a solution...which is very time consuming...can i always use e^x?

[drrobertoboogie97]

@princemikechoy e^x doesn't work. e^rx does.

[sythax]

seriously, i learned an hour of university maths lectures in under 20 mins.

[titanjo87]

great teacher

[cat0501]

C1 and C2 in themselves could also be functions (not just a constant such as C1 = 3 for instance)??? Could C1 = cos(x) ? I imagine that this would complicate things significantly but I was just curious.

Thanks.

[Casowsky]

I can never thank you enough, but I will try: thanks * lim(x -> 0) 1/x

[kraded]

@Casowsky Better take the abs. of x, otherwise it could be -infinite when approaching to 0 from the left ;) xddddddddddddddd

[n1a1s1i1m]

I was looking for a proof. x(

[mranderson987]

this makes too much sense compared to my textbook . . .

[DONJUAN0084]

This guy is a real teacher, you will probably get me though Diff. Eq! My teacher here at Texas A & M is not very good at teaching, he seems to go on the whole memorization concept. I have always hated memorization, because it makes no sense to me (being an Engineer). This video put the whole idea into perspective, and I no longer need to memorize, but simply approach these problems with actual knowledge. Thanks! Thanks! Thanks!

[iEatFanboys4Lunch]

my prof fucking sucks ur did amazing job i understand it so well now

[eltotoX]

How the fuck can this man explain in 5 minutes what a PAID university professor couldn't in one hour?

You sir, are a God among mortals.

[Pickulus]

omg dude i want to suck your dick!!!

[MrCalhoun]

Quite common to describe oscillations in physics and engineering.

[ProfessionalVibez]

is it possible for u to post a video about series solutions? thank you

[lasarikabab]

I can never thank you enough...but I will try.Thanks a million. It's nice to know that there are people like you.

Namasté Sal.

From Sweden.

[H4xx0rM4xx0r]

*applause* Bravo! Bravo!

[staM034]

you are true teacher!

[zachattack300]

OMFG i'm about to take my first prelim in this class in like 2 minutes. you just saved me like half a letter grade in these 8 and a half minutes

[vertthrasher]

Awesome... Simply awesome... My professor never showed how the characteristic equation is formed by assuming the solution is e^(something)*x. Makes perfect sense. She just did the whole "memorize that to get the characterisitc equation, if its y prime prime, it turns into y^2. If it's prime, it turns into y^1. and if there's no derivative (just y), it's y^0 (or otherwise 1)"

[efey71alj]

Sal !!! YOU !!! are The Shit!...

In the best way of course XD

[mskamran]

you are amazing man!!!

[vixnesh]

something says its negative 5 y i dunno of im correct can yu jus chek it up tq regards

[Cypeq]

I love u man ! u explain it all thx :) now i even know why we solve 2nd order ode like quadratic equation

[soenyizaw]

I have been reading my lecture notes without a clue for an hour. When you explain it in 8 min, it has become crystal clear to me. Just like a magic.

you are really wonderful.

[jpgreel]

Your video just saved me probably a few hours of time trying to figure this out myself. I missed some class this week because of the flu, and my math book absolutely sucks. You're a lifesaver.

[doctornoisewater]

YES. You sir, are the man. I can't believe you do these videos for free. I cannot thank you enough for all these!

[jcobaltss2005]

seemingly...youtube pays him quite well

[utbb2007]

Thank you for your videos! I now have hope that I can understand this.

[hemisferioludico1]

solo las matematicas tienen el carater universal de ser entendidas ...

[icafemoto]

YOU ARE GENIUS

[BKproduction1906]

wow man thank you very much now i dont have to drop my course XD

[hgeithus]

"maybe there's some other wacko function that would've worked here"

lol xD

[Ganjin88]

Yea, you can also find the solution for Y if you use eigenvalues and eigenvectors. But thnks to you Sal, Everything starts to make sense. I just need a geometric meaning behind them so I can imagine ways to apply them to the real world.

[Plutoniummatt]

Damped Harmonic Motion.

[Ganjin88]

Yea man, I need that for my electrical engineering course. That stuff comes in handy.

[boydekus]

Thankyou

[gonnaexp]

I have a question.

If b^2-4ac less than 0, what is the solution of the differential equation?

[electriciansmate]

Complex solution.

[203132]

you get a complex solutions.

[pinkunath09]

u er really awesome

[AndrewLitton]

you do your math magic once again. Love your videos

[tijdvooreendansje]

thank you!

[lazysleeper6]

you have some of the best videos out there. My teacher can't speak english so I have to watch your videos. Thank you.

[C0mpanion]

Amazing!

[gambuzo]

Excellent !!!