Re: Solve[wave equation,bound.cond.]
- To: mathgroup at smc.vnet.net
- Subject: [mg21545] Re: Solve[wave equation,bound.cond.]
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Fri, 14 Jan 2000 02:44:05 -0500 (EST)
- Organization: University of Western Australia
- References: <85i0ed$1od@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Karkaletsis Angelos wrote:
> I am trying to get the analytical solution of
> du/dt+c*du/dx=0,u[0,t]=a,u[x,0]=b, a,b real, but i can't.Does anybody
> know?
Dropping the boundary conditions, you can determine the general
solution:
In[1]:= u[x_, t_] = u[x, t] /.
First[DSolve[D[u[x, t], x] + c*D[u[x, t], t] == 0, u[x, t], {x, t}]]
Out[1]= C[1][t - c*x]
C[1] is an arbitrary function. Supplying the boundary conditions you
should be able to
work out what is going on:
In[2]:= {u[0, t] == a, u[x, 0] == b}
Out[2]= {C[1][t] == a, C[1][-c*x] == b}
Cheers,
Paul