Consider the competition model de­fined by

dx/dt = x(1 - 0.1x - 0.05y)

dy/dt = y(1.7 - 0.1y - 0.15x),

where the populations x(t) and y(t) are measured in thousands and t in years. Use a numerical solver to analyze the populations over a long period of time for each of the following cases:

(a) x(0) = 1, y(0) = 1

(b) x(0) = 4, y(0) = 10

(c) x(0) = 9, y(0) = 4

(d) x(0) = 5.5, y(0) = 3.5