Differential Equations usually comes after Multivariable Calculus, where partial differentials is fully covered. I believe this set of videos is fine without the partial differentials review. Nice work, as always Khan! <3
I never understood algebra, or calculus or Trigonometry or whatever rocket science math this is supposed to be, who the hell uses this stuff in real life anyway?
@MrNoturaveragerednek Differential equations are mostly used in physics in engineering. Basically it's very useful when working with objects in perpetual movement. The car you drive, the satellites that allows GPS to function and much more were designed much more effectively because of differential equations.
@RecLuseGurL91 You're not "stupid" for not knowing this stuff. Your educational background's just short in the area. You'd only be "stupid" if you rejected knowledge.
I feel stupid asking this, and really I wonder if it's even necessary to ask, but is this touching on multi-variable stuff? Because it seems to me that you have a variable x and a function of that variable y(x). But perhaps y(x) is, in itself, a variable? I've been through the first two calcs and this is completely new to me. Our prof. never touched on any of this.
@JohnNumberThree Yes, it's multivariate and it doesn't take much to check...the function Psi depends on y AND x. Hence, there's more than one variable = multi. I'm no expert on this either but as far as I can tell he's taking the total derivative: the function depends directly on x and indirectly on x through y.
Is this video supposed to be here in the playlist? We've only just done first order seperable equations and this next video is on partial derivatives?
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At the beginning, you say that psi(x,y) is another way to say psi(x, y(x)). Is that so? I'd be more inclined to say that psi(x,y) is a function of two independent variables (independently, and mutually). Especially since if y is a function of x, then psi is ultimately only a function of x, just with a more complex dependence on x, and the y is extraneous.
@ibizaboyz its xi pronounced "zi" with a symbol like an equals sign but one more line on top( Ξ ). it is the equivalent to the english x. Im in a fraternity, I had to learn the greek alphabet and all the symbols and english equivalents. :)
The Greek letter you use here is called Psi, not Zi. Psi looks like a trident and capitol Zi looks like three horizontal lines, while it's lower case looks like a capitol cursive E. Good brush ups though.
Why is the dy/dx necessary at the end when finding the derivative of the multiplied functions? I don't remember writing it when using that rule.
iLoveEatingPie 1 month ago in playlist Differential Equations
Differential Equations usually comes after Multivariable Calculus, where partial differentials is fully covered. I believe this set of videos is fine without the partial differentials review. Nice work, as always Khan! <3
virginialikesyou 1 month ago
I never understood algebra, or calculus or Trigonometry or whatever rocket science math this is supposed to be, who the hell uses this stuff in real life anyway?
MrNoturaveragerednek 2 months ago
@MrNoturaveragerednek Differential equations are mostly used in physics in engineering. Basically it's very useful when working with objects in perpetual movement. The car you drive, the satellites that allows GPS to function and much more were designed much more effectively because of differential equations.
tam3ree 2 months ago in playlist Differential Equations
Thank you Sal!!! :)
middleCmusic 3 months ago in playlist Differential Equations
SIR i literally have no words to how much you are helping us students ! God bless you !
9588alamALI 3 months ago in playlist Differential Equations
psy function , we can replaced with another function " to make it easier psy looks scariness " just for that
m2moun1 8 months ago
I had to view this video 5 times before I noticed that y is a function of x -.-
SalsaTiger83 9 months ago
I feel stupid
RecLuseGurL91 11 months ago
@RecLuseGurL91 You're not "stupid" for not knowing this stuff. Your educational background's just short in the area. You'd only be "stupid" if you rejected knowledge.
TheWingflyer 6 months ago
Just two more videos and you'll reach 2,000!!!!! Congratulations!!!
jazerazo 1 year ago
THESE TUTORIALS ARE AWESOME!
sanchitgrover 1 year ago
Why didnt you include constants needed before the partials?
bobbob135 1 year ago
I feel stupid asking this, and really I wonder if it's even necessary to ask, but is this touching on multi-variable stuff? Because it seems to me that you have a variable x and a function of that variable y(x). But perhaps y(x) is, in itself, a variable? I've been through the first two calcs and this is completely new to me. Our prof. never touched on any of this.
JohnNumberThree 1 year ago
Comment removed
mrmadmaxalot 1 year ago
@JohnNumberThree Yes, it's multivariate and it doesn't take much to check...the function Psi depends on y AND x. Hence, there's more than one variable = multi. I'm no expert on this either but as far as I can tell he's taking the total derivative: the function depends directly on x and indirectly on x through y.
MrPlender 7 months ago
So x and y in the psi function are independent or just simply function of one variable??
jishuenkam 1 year ago
Is this video supposed to be here in the playlist? We've only just done first order seperable equations and this next video is on partial derivatives?
E3tiger 1 year ago
he is god in differential i swear
m2moun1 1 year ago
yeah, it looked kinda proofy :P
good reminder for the chain rule in multivariable calculus
fermixx 2 years ago
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At the beginning, you say that psi(x,y) is another way to say psi(x, y(x)). Is that so? I'd be more inclined to say that psi(x,y) is a function of two independent variables (independently, and mutually). Especially since if y is a function of x, then psi is ultimately only a function of x, just with a more complex dependence on x, and the y is extraneous.
fullofhate77 2 years ago
Shut up, it makes no difference what notation for the function is. or how its pronounced!!!
lgahan06 2 years ago 17
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ahh its pronounced SI not ZI
roflcoptergoswoosh 2 years ago
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i'm not sure if a zi or si exists, never heard of it.
however ψ is prononounced psi.
ibizaboyz 2 years ago
@ibizaboyz its xi pronounced "zi" with a symbol like an equals sign but one more line on top( Ξ ). it is the equivalent to the english x. Im in a fraternity, I had to learn the greek alphabet and all the symbols and english equivalents. :)
mvtrumpetgeek13 2 years ago
True.
zsozsokel 2 years ago
@ibizaboyz *sigh*...
horrabletypoe 1 year ago
The Greek letter you use here is called Psi, not Zi. Psi looks like a trident and capitol Zi looks like three horizontal lines, while it's lower case looks like a capitol cursive E. Good brush ups though.
69erthx1138 2 years ago
Before you try to dis check your facts, Xi.
ryanm10123 2 years ago
hey khan, marry me?
lilonionoflove 3 years ago 37
Oops, sorry, I see it it is already there !
gambuzo 3 years ago 5
Great, thank you, but I think some intro on partial differentials would be in place (-:
gambuzo 3 years ago 6