Use IMSL to integrate (a) dx/dt = x - bxy dy/dt = -cy + dxy Where

Use IMSL to integrate

(a) dx/dt = αx - bxy

dy/dt = -cy + dxy

Where α = 1.5, b = 0.7, c = 0.9, and d = 0.4. Employ initial conditions of x = 2 and y = 1 and integrate from t = 0 to 30.

(b) dx/dt = -σx + σy

dy/dt = rx - y - xz

dz/dt = -bz + xy

Where σ = 10, b = 2.666667, and r = 28. Employ initial conditions of x = y = z = 5 and integrate from t = 0 to 20.