Question

I am not sure how to do the following:

Show if the equation Y=0.3271 cos(5.1191x + 0.01589t) satisfies the wave equation.

2) If this is a moving wave, what is the velocity?
3) it’s wavelength?
4) what is its angular frequency?

Answer 1

\[(\zeta ^{2}y/\zeta x ^{2})v=(\zeta ^{2}y/\zeta t ^{2})\]
That symbol stands for partial differentiation, and v is the wave speed.
\[v=w/k\]
Can you do the differentiation?