Consider the competition model de­fined by

dx/dt = x(2 - 0.4x - 0.3y)

dy/dt = y(1 - 0.1y - 0.3x),

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) = 1.5, y(0) = 3.5

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

(c) x(0) = 2, y(0) = 7

(d) x(0) = 4.5, y(0) = 0.5