Show function satisfies classical waveequation

[leonne]

Homework Statement

show that y=e^x-vt)7/8

Homework Equations

d²y/dt²= d²y/dx²

The Attempt at a Solution

i don't understand how they solve this. in the book they have dy/dt=e^zdz/dt=-7/8ve^z(x-vt)^-1/8
I thought it would be -7/8ve^ex-vt)7/8 not sure what they did any.
thanks

 

[mathfeel]

Your wave equation is wrong, it should be: $\frac{\partial^2 y}{\partial t^2} = v^2 \frac{\partial^2 y}{\partial x^2}$

Just plug in the function y and take bunch of partials.

 

[leonne]

o ok thxs