1. Consider the predator prey system, where t is measured in years. d_x__l$+3$ dt_ 2 y dy 1 i=2 _, . dt y 5323; (a) (6 points) Which variable, a: or y, represents the population of the prey? Which variable, a: or y, represents the population of the predators? Please explain using full sentences. (b) (6 points) Find all equilibrium points of the system.(c) (4 points) How would you adapt the system to account for the hunting of a predators annually? 2. (14 points) Derive the general solution for the partially decoupled system. dx - 4x dt dy = -3y + 22. dt