Question

I'm guessing OS will be slow for the holidays...
I suppose it's time to review differential equations.

Answer 1

turingtest do you know predicates and quantifiers?

Answer 2

no I don't think so
do you have that in a DE class?

Answer 3

whats DE?

Answer 4

differential equations

Answer 5

no just asking

Answer 6

interesting stuff, I'm reading up on it right now.
I knew most of those symbols and terminology, but have never studied it formally.

Answer 7

why do you think it'll get slow?

Answer 8

Most people that have the chance to not do homework usually don't.
I don't mean slow in terms of the server, but in terms of student who need to cram for exams

Answer 9

oh yes yes........

Answer 10

differential equations?

Answer 11

i love differential equations

Answer 12

Yes, I sort of went through that stuff online a year or so ago, but I need to finish the OCW for multivariable calculus, then that to really have it down.

Answer 13

What are differential equations?

Answer 14

y'+yx=x^2
and such

Answer 15

\[y(x)=y'(x)\]

this is a easiest diffrential equations

Answer 16

I don't understand.

Answer 17

do you know derivatives?

Answer 18

right, the answer is y(x)=e^x+c

Answer 19

nope

Answer 20

I'm in 8th standard

Answer 21

ok, forget it

Answer 22

ah, definitely need to have a good handle on calculus first

Answer 23

when will I learn about it?

Answer 24

what country are you in?

Answer 25

India

Answer 26

at least after multivariable calculus, and hopefully after linear algebra. Then you can start on DE
s

Answer 27

DE's

Answer 28

btw, prof aroroux is awesome for multivariable calculus

Answer 29

I know, he makes everything seem so simple :)

Answer 30

no, but it's nice to be able to tie in the idea of a "fundamental solution set" in DE's with a basis for a vector space, they are closely related.

Answer 31

plus it comes in handy solving systems of DE's

Answer 32

yeah, like particular solution/homogeneous solution

Answer 33

I'm not sure how that part relates to linear algebra, but I'm sure it does.
I am thinking more of how interesting it is to treat solution sets in DE's as vectors, and how they form the basis for the solution space. Pretty cool in my opinion.

Answer 34

oh, you means system of differential equations

Answer 35

actually it show up in the solutions to second order DE's, not just systems
http://tutorial.math.lamar.edu/Classes/DE/FundamentalSetsofSolutions.aspx
If you look at the solutions closely you'll notice that they are linearly independent vectors that can define a solution space. It ties things together nicely.

Answer 36

You can see that through the Wronskian...

Answer 37

yeah, I did Wronskian in DE

Answer 38

I found step/delta function and fourier series interesting in DE

Answer 39

well, if the Wronskian is not zero, then the matrix is of linearly independent vectors, right?

Yes those part were my favorite too. I also just like the look of solutions involving Fourier series, they are pretty.

Answer 40

Yes,

Answer 41

You can solve for exact value of pi using fourier series

Answer 42

really? got a link for that?

Answer 43

http://openstudy.com/#/updates/4eded57ae4b05ed8401ac711

Answer 44

You definitely need linear algebra for ODEs. Thats all DEs are is linear algebra. Calculus is also a must, when you learn rudimentary methods such as variation of parameters you need to know how to handle (usually complicated) integrations. Especially for systems. Variation of parameters for systems requires quite a bit of knowledge. Integration, matrices, matrix inversion, IVP, and dealing with rather complicated looking functions sometimes.

Answer 45

Of course, anyone can get good at programming in matlab and solve them no problem haha