# Wave equation

1. Feb 20, 2014

### weakness66

Hello guys,
I would like to ask some questions regarding my coursework, which is about 2nd ODE and multivariable calculus.
Since we have the one-dimensional wave equation and values for the string stretched between x=0 and L=2: 0≤x≤L, t≥0
The string is fixed at both ends so we have :
u(_,t)=u(_,t) = 0 , t≥0
now we assume string is raised a distance μ at x=b and released from rest at t=0, Zero velocity implies: ∂u/∂t (_,_)=0 . 0≤x≤L

thanks beforehand!

2. Feb 20, 2014

### Simon Bridge

Welcome to PF;
That's what we are here for. However, you didn't ask any questions. Instead, you appear to have presented a situation.

... what are the underscore characters supposed to represent in the above?

Are these blanks in the question you are supplied with?

3. Feb 21, 2014

### LCKurtz

And the initial position is u(x,0) = ? Or is that what you are asking?

4. Feb 21, 2014

### Simon Bridge

I'm concerned that this is a homework question of the "fill in the blanks" style.
If that is the case then LCKurtz may just have done your homework for you - well done!
You should be able to figure the initial function though.

5. Feb 23, 2014

### LCKurtz

Perhaps you are correct, although I wouldn't expect something that trivial here.