A door is opened between rooms that hold v(0) = 30 people and w(0) = 10 people. The
Chapter 5, Problem 5.4.24(choose chapter or problem)
A door is opened between rooms that hold v(0) = 30 people and w(0) = 10 people. The movement between rooms is proportional to the difference vw: dv dt = wv and dw dt = vw. Show that the total v+w is constant (40 people). Find the matrix in du/dt = Au, and its eigenvalues and eigenvectors. What are v and w at t = 1?
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