Answer Happy

I would greatly appreciate it if you could explain the
steps. Thank you!
= - = Consider the potential 22 U=U 2 in dimensionless units so that the energy E = U. + ] (12 – 22). Consider two values of the energy E1 Un and E2 = HU.. E. For these values of the energy: (i) Find analytically the complete set of time dependent solutions for X(t), y(t), (ii) Draw the phase plots in the rectangle -1 <2, y < 1. {Here you may assume some convenient value of Uo (e.g. Vo = 1 or 2)} (iii) Indicate with arrows the solutions from (i) that are appropriate to the various segments of curves in (ii).