Question

URGENT, HEAT EQUATION! Come in if you know your Deferential equations :)

Answer 1

This is the question, I have solved it but I need someone to double check my solution.
Question: Find the temperature u(x, t) in a rod of length L if the initial temperature is f (x) throughout and if the ends x=0 and x=L are insulated.
F(x)= x, 0<x<1 and the length of the rod is L=2
0, 1<x<2

Solution: For an insulated rod the solution X(x,t)=\[a_{o}/2 + \sum_{n=1}^{\infty} B_{o} \cos (n \pi )x/L * e^-{n^2 \pi^2\alpha^2} \]

I found a_o= 1
and Bn= \[({-2/n \pi}* \sin (n \pi/2) +(2/n \pi)^2 \cos (n \pi/2) - (2/n \pi)^2)\]
then just plug in the coefficients into the sum.
I am just not sure if these are the correct values for the ao and Bo coefficients.

Answer 2

yeh guys anybody knows how to do this kind of question?

Answer 3

Is this fourier Series?

Answer 4

umm we skipped over it i think

Answer 5

either way i cheated my way thru series so i dont know nething

Answer 6

well yes sort of, if you are a math major then you prolly did not learn the heat equation, it is more on teh applications side of mathematics.

Answer 7

iight cool, i think i got the right solution.. but even if someone decided to help, the solution is long.. lol so i think even if ppl know the answer they wouldnt wnan ahelp out haha

Answer 8

lol

Answer 9

ok i think amma leave, this os is useless haha.. if anybody know the answer please help

Answer 10

bump ur question

Answer 11

yeh i am just waiting for that, 6 more minutes.

Answer 12

@JamesJ @FoolForMath @myininaya @TuringTest D:

Answer 13

hahaha you are the best

Answer 14

I love getting free medals for bothering other people, while not actually answering the question.

Answer 15

lol... as long as you are tryna help

Answer 16

@fretje

Answer 17

ok am off to study and will be back later on, hopefully will come back and find something useful, see you all!

Answer 18

@Hero

Answer 19

Cheers, yo.

Answer 20

Sorry, I don't really know this, but I can get the solution for it.

Answer 21

"He's not the Hero Openstudy needs right now, but he's the Hero it deserves." - Batman

Answer 22

I doubt that Batman said that.

Answer 23

Let yourself be educated. http://www.youtube.com/watch?v=oL7PSlUuWPs

Batman's history is important.

Answer 24

I'm pretty sure he said nothing about Open Study

Answer 25

Ehh, details.

Answer 26

@hero if you can get the solution for it please do so, thanks

Answer 27

Lol @badreferences

Answer 28

Building a time machine?:o

Answer 29

Anyone who feels like posting a solution should post it. I'm at the point where the more difficult the question, the more I feel like being compensated for my time.