1. The problem statement, all variables and given/known data In a particular cosmological model, the Friedmann equation takes the form L^2 (a')2 = a^2 − 2a^2 + 1, where L is a positive constant, the dot denotes time differentiation, and the initial condition is a(0) = 1. What are the units of L? Show, without solving this equation, that the universe described by this model is never smaller than a certain minimum size. Now solve the equation and describe the history of this universe. 2. Relevant equations 3. The attempt at a solution I basically considered this as an autonomous equation and found the critical points. Once A takes those values, the derivative will be 0 so the value of the function will not change. In class however, my tutor discussed some other weird (in my opinion) method of solving the problem which simply went over my head. Can someone please help me confirm whether I'm correct? Also, I don't see how we can "describe the history of this universe" by solving this equation. Please advise!! Thank-you very much for your kind co-operation!!