Lagrangian of a system is l = ax bx2, then x = ct + ct + c (b) x = c,e+c x c, sin(c,t + c,) (d) x = c.e sin(c,t +c,) ioy d

You see among three constants ,one reprsents the phase dependent upon initial condition. Here it is c3. c1 is nothing ,it is there to match the dimension of x, it can be omitted in...

use equation of motion.