A forest has a population of cougars and a population of rabbits. Let æ represent the number of cougars (in hundreds) above some level, denoted with 0. So e = – 3 corresponds NOT to an absence of cougars, but to a population that is 300 below the designated level of cougars. Similarly, let y represent the number of rabbits (in hundreds) above a level designated by zero. The following system models the two populations over time: x' = - 0.125x + y y' = - x + 0.125y Solve the system using the initial conditions a(0) O and y(0) = 1. %3D x(t) =

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