The displacements associated with two waves (propagating in the same direction) having sam...

The displacements associated with two waves (propagating in the same direction) having same amplitude but slightly different frequencies can be written in the form

and

(such displacements are indeed obtained when we have two tuning forks with slightly different frequencies.) Discuss the superposition of the displacements and show that at a particular value of x, the intensity will vary with time.