Problem 1. (15 pts) A differential equation that models the population sizes of two different species, denoted as x(t) and y(t) is shown below: -2.(t) + x(t)y(t), (1) dx dt dy dt = y(t) x(t)y(t). (2) Simulate the dynamics using Matlab. Plot both x(t) and y(t) for the time interval [0, 20) and initial conditions x(0) = 1, y(0) = 1