Is the Solution Unique Using the Method of Characteristics?

[Maximtopsecret]

Homework Statement

: Using the method of characteristics, say if the problem does have a solution; if it does, is the solution unique? [/B]

Homework Equations

dt=(u^2)dx;

The Attempt at a Solution

from the formula above follows dt/dx=u^2; then how am I supposed to find and use characteristics?

 

[epenguin]

Well what is u_x/u_t in general? (Never sure if this is same thing as 'method of characteristics' but you can solve by asking - or by now answering - that question.)

 

[Maximtopsecret]

ux/ut

Ux/Ut is dt/du, I guess.

btw http://en.wikipedia.org/wiki/Method_of_characteristics

 

[epenguin]

No
It may be more familiar as (∂u/∂x)_t/(∂u/∂t)_x = ?

(I did not get that article last time I tried to read it, nor others I have tried, but will try again in next days).