Does y(x,t) Satisfy the One-Dimensional Wave Equation?

[TheTourist]

A transverse traveling wave is described by

y(x,t) = 0.6exp(2x-5t)cos(5t-2x)​

for x and y measured in centimeters and t in seconds.
Show that y(x,t) satisfies the one-dimensional wave equation.

I think that I have to show that y(x,t)=f(x+/-vt) where f is a funtion of x and t. Am I correct in calling A=0.6exp(2x-5t) or is it A=cos(5t-2x), because the reversal of the x and t values in the second case is confusing me. Any pointers on where to begin.

 

[gadje]

The one-dimensional wave equation is $$\frac{\partial^2 y}{\partial x^2} = \frac{1}{v^2}\frac{\partial^2y}{\partial t^2}$$.

See how you get on, knowing this.