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

The equation of motion of a simple harmonic motion is

The equation of motion of a simple harmonic motion is not

The differential equation of a particle executing simple harmonic motion along y-axis is

The differential equation of displacement of all "Simple harmonic motions" of given period (2pi)/n, is

Form the differential equation representing the family of curves y=A cos(x+B) where A and B are parameters.

Form the differential equation representing the family of curves y=A cos(x+B) where AS and B are parameters.

The equation of a simple harmonic motion is given by x =6 sin 10 t + 8 cos 10 t , where x is in cm, and t is in seconds. Find the resultant amplitude.

The equation of a simple harmonic motion is X=0.34 cos (3000t+0.74) where X and t are in mm and sec . The frequency of motion is

Form the differential equation of the family of curves y=asin(b x+c),\ a\ a n d\ c being parameters.

Find the Cartesian equation of the curves whose parametric equation are : x=3 cos alpha, y = 3 sin alpha