Question

Solve the wave equation [if someone can post the wave equation] by the separation of variables method (y(x,t)=X(x)T(t)) for the case of both string's ends are fixed (y(0,t)=0,y(L,t)=0) or X(0)=X(L)=0.

Please (:

Answer 1

\[\frac{ d ^{2}y }{ dx ^{2} } = \frac{ 1 }{v ^{2} } \frac{ d ^{2}y }{dt ^{2} } \]

Answer 2

If you're working with partial differential equations then you're far beyond the level of somebody who just asks for an entire problem like this to be done for them....what part are you struggling with?

Answer 3

Actually, I haven't learned differential equations, but this is on my physics' lab relatory. . .

Answer 4

do they give you actual functions you're supposed to be using?

Answer 5

I'm supposed to deduce all the way to the solution. Although any bibliography can be consulted.
Maybe if you could give me just some guidance so I can study by myself (:

Answer 6

If you don't have any experience with differential equations then the question is ridiculous. It's not particularly difficult but it's a little bit involved.

http://www.google.com/url?sa=t&rct=j&q=wave%20equation%20solution%20fixed&source=web&cd=2&ved=0CCcQFjAB&url=http%3A%2F%2Fwww.iam.ubc.ca%2F~sospedra%2F05-separation.pdf&ei=EDJjUIiEGqjB0AHwkoHYCw&usg=AFQjCNGgw8ALztfWzEc9G6oc8wjUnwvnZA&cad=rja

Answer 7

nice find @Jemurray3

Answer 8

1) Write down the problem
2) Think real hard
3) Write down the solution

Answer 9

^^ Behold the Feynman Algorithm

Answer 10

invariably yields success.

Answer 11

thanks to (3).

Answer 12

My college's chronogram is strange. . .
But thank you guys.