A door is opened between rooms that hold v(O) = 30 people and w(O) = 10 people. The
Chapter 6, Problem 4(choose chapter or problem)
A door is opened between rooms that hold v(O) = 30 people and w(O) = 10 people. The movement between rooms is proportional to the difference v - w: dv -=w-v dt and dw dt = v - w. Show that the total v + w is constant (40 people). Find the matrix in d u / d t = Au and its eigenvalues and eigenvectors. What are v and w at t = 1 and t = oo?
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