A particle has mass m and moves in the region x > 0 under the force , where and are constants. The particle starts from the position of equilibirum with speed v. Find the limiting values of x in the subsequent motion. Show also that the period of oscillation is independent of v.
so far i have done:
*for the position of equilibrium this is where F=0
*for the period
I tried to use
at x=a V=0 so
as max, min x T=0
however i get lost with constants of integration