The differential equation of all Simple Harmonic Motions of given period 2pi/n, is\td2x/dt2 +nx=0\td2x/dt2 + n2x=0\td2x/dt2 -n2x=0\td2x/dt2 + (x/n2)=0Please answer this question someone please.

equation of SHM is

X=Asin(wt + Φ) .............1

where w= 2*pi /T

           = 2*pi /2pi/n   =n

so X = X=Asin(nt + Φ)

differentiate

 dx/dt  =An cos(nt + Φ)

again differentiate

 d²x/dt² = -An²sin(nt + Φ)

             =n² X   (from equation 1)

d²x/dt² = -Xn² 

 d²x/dt² + Xn² =0