simple equation

Form the differential equation of simple harmonic motion given by x=A cos(nt+alpha) , where n is fixed and A, alpha are parameters.

Obtain the equation of a plane progressive simple harmonic wave.

Obtain the differential equation of linear simple harmonic motion.

Show that the motion of simple pendulum is simple harmonic and hence derive an equation for its time period.What is Seconds pendulum?

The differential equation of displacement of all l'simple harmonic motionsl of given period (2p)/(n), is

The displacement equation of a simple harmonic oscillator is given by y=A sin omegat-Bcos omegat The amplitude of the oscillator will be

Equation OF simple harmonic travelling wave