# Understanding the One Dimensional Wave Equation

1. Mar 26, 2013

### OnceKnown

1. The problem statement, all variables and given/known data Given that the the One Dimensional wave equation is $\frac{∂^{2}y(x,t)}{∂x^{2}}$ = $\frac{1}{v^{2}}$ $\frac{∂^{2}y(x,t)}{∂t^{2}}$ is y(x,t) = ln(b(x-vt)) a solution to the One Dimensional wave equation?

2. Relevant equations Shown above.

3. The attempt at a solution So my Professor stated that yes, it was a solution to the One Dimensional Wave equation, but I am confused on the process to get this answer. Do we plug the ln(b(x-vt)) into the y(x,t) of the equation and then using partial differentiation to solve in terms of "x" and "t" and see if they match the original equation?

2. Mar 26, 2013

### Sunil Simha

Yes, that is a right method.

3. Mar 26, 2013

### Sunil Simha

Yes, that is a right method.