A cool non linear differential equation

  Рет қаралды 5,761

Maths 505

Maths 505

Күн бұрын

Пікірлер: 33
@CM63_France
@CM63_France 11 күн бұрын
Hi, "Terribly sorry about that" : 0:43 , 1:37 , 1:42 , 4:36 , 6:07 , 7:49 , "Ok, cool" : 1:45 , 4:22 , 6:12 , 8:36 .
@maths_505
@maths_505 11 күн бұрын
@@CM63_France I never said thank you
@daveydd
@daveydd 11 күн бұрын
Can you solve the Riemann Hypothesis for the next video? I'd appreciate the answer!
@maths_505
@maths_505 11 күн бұрын
Trivial
@insouciantFox
@insouciantFox 11 күн бұрын
​@@maths_505left as an exercise
@handledav
@handledav 11 күн бұрын
@@insouciantFoxto the reader
@hassanbabajantabar3202
@hassanbabajantabar3202 11 күн бұрын
Hey Kamal I have a suggestion for you: int from zero to infinity of ln(x)*e^x/(cosh(x))^2
@xanterrx9741
@xanterrx9741 11 күн бұрын
I Love your videos I hope you get well and produce more content for us.
@darthTwin6
@darthTwin6 11 күн бұрын
You made that look almost easy! Great vid!
@zunaidparker
@zunaidparker 11 күн бұрын
You know what comes next...plug it back into the original equation to see if it works ;)
@maths_505
@maths_505 11 күн бұрын
@@zunaidparkerleft as an exercise to the viewer 😂
@cdkw2
@cdkw2 11 күн бұрын
diff equations are the best!
@GeraldPreston1
@GeraldPreston1 11 күн бұрын
Ai minecraft speedrun when?
@daddy_myers
@daddy_myers 9 күн бұрын
I endorse. The mathemaniacs require a sacrifice.
@raghavendraPi
@raghavendraPi 10 күн бұрын
😁😁 after a long time, nice one
@Harshit-w5z
@Harshit-w5z 10 күн бұрын
try it with exact differentials/solution by inspection
@A.Hisham86
@A.Hisham86 11 күн бұрын
Why didn't you just assimilate the constant? I found y= A sinh^1(x) + B(x)sqrt(x^2 +1) + C :)
@zunaidparker
@zunaidparker 11 күн бұрын
There are only 2 constants ie 2 degrees of freedom. You are introducing an extra degree of freedom that doesn't exist in the original equation, your B parameter is not independent of A.
@giuseppemalaguti435
@giuseppemalaguti435 11 күн бұрын
u=dy/dx...(1+x^2)uu'+x=xu^2..(t=u^2)..dt/(t-1)=2xdx/(1+x^2)..ln(u^2-1)=ln(1+x^2)+c...u^2=k(1+x^2)+1..u=dy/dx=√(k(1+x^2)+1)...poi si integra
@salkabalani1482
@salkabalani1482 11 күн бұрын
Good job. The only potential snag I see is at time index 2:08 you defined your constant of integration as ln(A)/2. This necessarily means that you assumed that A0, which is not necessarily correct assumption. ln(0) is undefined. Of course, for values of A
@alnfsyh9403
@alnfsyh9403 11 күн бұрын
Hi, I'm still a new learner. But why did he say ln(u²-1) instead of ln(Abs(u²-1)). Then if 0
@munibzain1966
@munibzain1966 10 күн бұрын
The constant if integration can be any number. And ln(A)/2 can indeed be any number. The range is the entire real axis while the domain doesn't actually matter, since the integration constant is the function ln(A)/2 not A itself. Which means that regradless of the initial conditions, A will always turn out to be greater than zero.
@francescobedinijacobini
@francescobedinijacobini 6 күн бұрын
Clairaut equation
@andirijal9033
@andirijal9033 10 күн бұрын
Why not sec ?
@jaykishan9266
@jaykishan9266 10 күн бұрын
Which aap you are using to make videos?
@neg2sode
@neg2sode 8 күн бұрын
I suppose he mentioned in his Q&A video that the app being used is the built-in drawing app for Samsung tablets.
@viktor-kolyadenko
@viktor-kolyadenko 11 күн бұрын
Вы не проверили решение u = +/- 1. Хотя в 2:47 это соответствует A = 0.
@Ownageffects
@Ownageffects 11 күн бұрын
zdarova
@sebastianlopezgiraldo21
@sebastianlopezgiraldo21 11 күн бұрын
Hey bro, do you study astrpohysics rigth? Would not you like to make videos about that any time? Great video as ever
@maths_505
@maths_505 11 күн бұрын
I've recently ventured into AI now given the state of academia plus the socioeconomic state of the world rn. I'll return to it later though, but if there's anything I'd like to make videos on its quantum mechanics, especially now that I'm studying grad school qm.
@sebastianlopezgiraldo21
@sebastianlopezgiraldo21 11 күн бұрын
@@maths_505 Oh yeah it´s true, I also study astronomy and the academy it´s not son friendly. It would be amazing you do it, because there are not lot of channels of qm so riguruos on youtube (almost are of divulgation that it´s ok too). Thank you and I love your channel
@chancia8990
@chancia8990 10 күн бұрын
why did u turn off likes and dislikes :(
@anuragkr3026
@anuragkr3026 9 күн бұрын
Hi
When a mathematician gets bored ep.2
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