Question

Differential equationsy junk here pls

Answer 1

@Astrophysics @ParthKohli

Answer 2

I have nothing, just like, I am unable to scroll in math chat cause I'm multitasking

Answer 3

There's nothing here......

Answer 4

sad but true

Answer 5

What? Mate I think u need a good nights sleep....

Answer 6

Or multiple nights.......

Answer 7

lol k

Answer 8

I appreciate ur concern

Answer 9

I can't sleep when I'm addicted to listening to the Hamburger Helper mixtape. https://soundcloud.com/hamburgerhelper/sets/watch-the-stove

Answer 10

Thx I guess nice smartscore btw but the smarter u r the easier it is to go mental and Im concerned about the fact that u need help with solving literally nothing.........

Answer 11

well, you see, I thought they wanted to play around with differential equations a second ago, but they disappeared so now it's just us.

Answer 12

you wanna learn differential equations?

Answer 13

Does it usually require effort?

Answer 14

only while you're breathing

Answer 15

I think I just suffocated it cant be THAT hard Im a genius at everything it just comes naturally msa

Answer 16

Hello whoever showed up wanna learn differential equations cuz if u do Im out

Answer 17

perfect, then differential equations is for you. First though, I gotta teach you calculus

Answer 18

WHAT? U have GOT to be joking mate U cant teach me effing calculus in ONE night.........

Answer 19

well you're the genius here, you just said so

Answer 20

Ever heard of sarcasm.....

Answer 21

hey i know a little math like solving two equations in two variables
can you teach me calculus

Answer 22

I think it's doable, learning tricks is annoying, but at least I can get you up to the fundamental theorem of calculus with finite differences

Answer 23

alright so everyone crowd around we're learning calculus the Kainui way

Answer 24

I was being sarcastic I am kind of smart but not a bloody genius I dont kno any geniuses

Answer 25

@Aishalicious1 you do now.

Answer 26

Ok so I know up til like Algebra one ish so this is gonna be hella hard
If u r implying urslef I dont KNOW u I just met u like 30 sec ago

Answer 27

no, not me. i'm talking about Kainui.

Answer 28

Let's get some shorthand for stuff that we are interested in. But first let's look at something concrete.

What's this sum equal to?

\[(1-2)+(2-3)+(3-4)+(4-5)\]

Answer 29

Also met her a min ago

Answer 30

-4?

Answer 31

cool, how did you do that so quick?

Answer 32

Im a genius??? Jk I hav been tutored since I was 3 with mental math crap guess it paid off and now I help there

Answer 33

If you compared the nearby terms as them all cancelling each other out, then:

Congratulations, that's the fundamental theorem of calculus in a nutshell. It's just this one stupid trick. Calculus professors hate me.

Answer 34

Hmm I wonder why u make math alot easier and literally do their job better.....

Answer 35

Everything else in calculus is just tricks on how to do this for different sequences.

Answer 36

linear algebra is where it's at

Answer 37

it was all negative 1 and -+ always =_ and then just subtract it all like a debt or something welcome to Aisha math get ready to get lost///

Answer 38

I would disagree @Kainui. It's all about diff eq.

Answer 39

It's all about vedic math.

Answer 40

lol

Answer 41

Geometry <3

Answer 42

Blah blah I disagree I disagree then teach the fundementals of calculus simply like she did
@raffle_snaffle If I actually get it ur way then ur awesome

Answer 43

diff eq. is not important for the most part, it's numerical methods for getting the realistic differential equations solutions that are linear algebra :D

Answer 44

Srsly the way I do my math u rnt going to get it at all I have like ADHD so my brain and reflexes r faster than most ppl

Answer 45

It sucks too fidgeting all the time

Answer 46

@Aishalicious1 what you did was right I think you got the idea

Answer 47

just said it differently than what I did

Answer 48

I like diff eq because it's applied math. I like applied math.

Answer 49

I like it if it makes sense...... Like slope and functions and stuff it makes sense....

Answer 50

ok try this one, what's the answer

\[(7^2-5^2)+(9^2-7^2)+(11^2-9^2) = \]

Answer 51

The only part I really enjoyed in linear was Eigen values and Eigen vectors. xD

Answer 52

Is that a minus inside the P

Answer 53

linear algebra is all math, applied and unapplied. Eigen vectors are bae <3

Answer 54

yeah those are minus signs in there

Answer 55

do it the easy way, the parenthesis are just cute things that mena nothing

Answer 56

Of course our linear algebra courses could have been different. Where I took it we need calc 3 as a preq, however at the local uni you didn't even need calc 1

Answer 57

49-25= 24+32+30=82?
It

Answer 58

The coments keep pushing it up!!

Answer 59

doubt it, linear algebra and calculus are fundamentally inseparable. Integrals and derivatives are linear operators. Infinitesimal signed volumes are determinants. Integrals can be used as inner products with functions as vectors with uncountably many dimensions :D Also any system of linear differential equations

Answer 60

So is it wrong?

Answer 61

yeah os is glitchy idk why it does that

Answer 62

I don't know let me work it out, I just made this up.
\[(7^2-5^2)+(9^2-7^2)+(11^2-9^2) = \]

the \(7^2\) and \(-7^2\) terms cancel, the \(9^2\) and \(-9^2\) terms cancel so all that's left is

\[-5^2 + 11^2\]

I don't even care what number that is, as long as you understand the way of cancelling out the extra terms like this

Answer 63

@Aishalicious1 does it require effort? Lol

Answer 64

Why would it cancel......ohhhhh

Answer 65

Im serious I dk bout ya'll but its 2 am here

Answer 66

The little ( ) are there to group the terms together cause they're related in a special pattern.

\[f(n) = (2n+1)^2\]

So plug in n=2 you get \(f(2) = 5^2\)

what do you get if you plug in n=3 to f(n)?

Answer 67

49?

Answer 68

yeah exactly, perfect!

Answer 69

Hey @Kainui can we do this later today Im exhausted and its like 2:05 am here.......

Answer 70

so now here's the next bit of fun,

\[f(n+1)-f(n)\]

That thing right there is what I had in each of the parenthesis, right, cause we just found that:

\[f(2+1)-f(2) = f(3)-f(2) = (7^2-5^2)\]

for reference:

\[(7^2-5^2)+(9^2-7^2)+(11^2-9^2) = \]

Answer 71

Did u say FUN?

Answer 72

haha. To be honest, the hard stuff is just understanding the notation. The concept is simple, you already know the fundamental theorem of calculus you just don't know how to apply it to anything

Answer 73

well, maybe you don't know it really, but whatever you're not too far off lol

Answer 74

you seem to be having fun, but if it's your bed time then go to bed lol

Answer 75

No offense and all but how old r u calling calc fun I hav a friend ud love to meet so into math too i mean I luv Math but its like something I can do for like school not fun

Answer 76

well that's just cause you don't really know what math's about yet

Answer 77

Its the middle of the night trust me if I dont wanna fall asleep and fail tmorow then I better sleep

Answer 78

if all you knew about english was how to spell words but had never read a sentence or a book, you'd think reading was dumb too probably

Answer 79

I love reading...........

Answer 80

hahaha it's just a metaphor

Answer 81

Please explain Legendre function

Answer 82

and rodrigues

Answer 83

I'm glad you asked, they're a set of orthogonal polynomials that are a useful basis for looking at spherical stuff. Rodrigues formula is just one way to express them.

Answer 84

hence, linear algebra > calculus

Answer 85

there's this guy on youtube who goes by the name steven grigsby
i think he's a better teacher than kainui

Answer 86

nah that guy's whack yo

Answer 87

Link me

Answer 88

Sturm-Liouville is where it's at btw

Answer 89

Please define parity

Answer 90

even or odd

Answer 91

ty

Answer 92

yw np

Answer 93

the hamburger helper mixtape is a masterpiece

Answer 94

amen to that

Answer 95

the songs have all been stuck in my head all month long it's crazy

Answer 96

yeah I already know differential equations but can you teach me to songwrite like this guy

Answer 97

I wish