- #1

- 27

- 0

## Homework Statement

Sorry I tried to use Latex but it didn't work out :/

Make the change of variables r = x + vt and s = x vt in the wave equation

partial^2y/partialx^2-(1/v^2)(partial^2y/partialt^2)=0

## Homework Equations

partialy/patialx=(partialy/partialr)(partialr/partialx)+(partialy/partials)(partials/partialx)

partialy/partialy=(partialy/partialr)(partialr/partialt)+(partialy/partials)(partials/partialy)

partialr/partialx=1

partials/partialx=1

partialr/partialt=v

partials/partialt=-v

## The Attempt at a Solution

I am a little bit confused about what to do. This is what I did:

Rearranging:

partial^2y/partialr^2(1-1/v)+partial^2y/partials^2(1+1/v)=0

I feel this is completely wrong, but I can't think of another way of doing it.