bjw1311
May28-09, 01:16 PM
1. The problem statement, all variables and given/known data
Prove that, for any solution to the wave equation, the sum of the values of phi at the points (x0,ct0 +- a) is equal to the sum of the values of phi at the points (x0 +- a,ct0). Prove this directly from the wave equation, not from the general solution.
Hint: change co-ordinates u=x-ct and v=x+ct, then integrate twice
3. The attempt at a solution
I have no idea how to use the substitution!!! help!
The +- is meant to be + on top of -.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
Prove that, for any solution to the wave equation, the sum of the values of phi at the points (x0,ct0 +- a) is equal to the sum of the values of phi at the points (x0 +- a,ct0). Prove this directly from the wave equation, not from the general solution.
Hint: change co-ordinates u=x-ct and v=x+ct, then integrate twice
3. The attempt at a solution
I have no idea how to use the substitution!!! help!
The +- is meant to be + on top of -.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution