MATLAB - Wave Packet Problem!

With the given equation below, use MATLAB to add together traveling waves in four different cases. For simplicity, (a) pick a fixed time, i.e., t=0, and (b) represent each wave by cos(k*x) rather than an exponential.

1. Please show the programming commands you used,

2. plots of the resulting wave amplitude vs. position after integrating the equation. (Assume that the center frequency has a wavelength of 1 meter. Plot u(x) from 20 meters to +20 meters. Adjust the vertical scale to reasonably fit the plot in each case:

3. In 1-2 sentences, what does it all mean?

u(x)- cos(kx)dk ko-5ko u(x)- cos(kx)dk ko-5ko