1. Consider populations of catfish (C) and bald eagles (E). The equations describing the evolution of these two populations are:
2. C=4C2CE E=3E+3CE
3. The goal of this exercise is to use Euler's method to approximate a trajectory (and thus the evolution of this system).
4. a) Suppose we start att= 0 with 1 catfish and 1 bald eagle. Use Euler's method with a step size of t= 0.5 to estimate the
5. populations att= 1.
6. b) On a graph, draw the points corresponding to the populations att= 0,t= 0.5 andt= 1 as well as the vectors multiplied by tthat you have used in Euler's method.