Question: Construct a phase diagram with direction field for the continuous model p(t) = 20 5Q(t) Q(t) = q1(t) + q2(t) TC1(t) = 4q2 1(t)

Construct a phase diagram with direction field for the continuous model p(t) = 20 − 5Q(t)

Q(t) = q1(t) + q2(t)

TC1(t) = 4q2 1(t)

TC2(t) = 4q2 2(t)

q˙1(t) = 0.2(x1(t) − q1(t))

q˙2(t) = 0.2(x2(t) − q2(t))

along the lines of sub-section 9.4.2. Is it true for this model that all paths converge on the equilibrium regardless of the initial value?

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