Consider populations of catfish (C) and bald eagles (E). The equations describing the evolution of these two populations are

C' = 4C-2CE

E' = -3E+3CE

a) Suppose we start at t=0 with 1 catfish and 1 bald eagle. Use Euler's method with a step size of delta t = 0.5 to estimate the populations at 1.

b) On a graph, draw the points corresponding to the populations at t=0, t=0.5, and t=1 as well as the vectors multiplied by delta t that you have you in Euler's method.