Please provide solution

4. Population dynamics. In the ski resort, the amount of people visiting changes every day of the year. In the cold period there are more people coming, while in the warm period very few are visiting. In the luna park, it works the opposite way. Most people will come in the warm period and very few will come in the cold period. Consider X (t) = #people in ski resort at time t #people in luna. park at time 1:. Here t is the time measured in years. At the rst day of the year (t = 0) there are 100 people in the ski resort and nobody in the luna park. (a) What is X(0)? (b) Suppose X grows according to the following equation X (t) = Re(X(D)e") where a: = a + bi is the solution with b > 0 to $2+r2+8=0, where 72'2\