Please see the attached file.
In some media, waves of different frequencies travel at different speeds. Such a medium is called a dispersive medium because waves that are not sinusoidal will change shape or disperse over time.
For example, a superposition of two such waves of different frequencies is described by the equation:
y(x,t) = cos(k1x - w1t) + cos(k2x - w2t)
Substitute into the equation above the following expressions for k1, k2, w1 and w2
And show that: (see attachment for equation)© BrainMass Inc. brainmass.com March 21, 2019, 5:09 pm ad1c9bdddf
The superposition of waves of different frequencies was investigated. The solution shows the work in detail.