Find a solution x(t), y(t) of the first system that gets large as t . To avoid this
Chapter 5, Problem 5.4.42(choose chapter or problem)
Find a solution x(t), y(t) of the first system that gets large as t . To avoid this instability a scientist thought of exchanging the two equations! dx/dt = 0x 4y dy/dt = 2x + 2y becomes dy/dt = 2x + 2y dx/dt = 0x 4y. Now the matrix 2 2 0 4 is stable. It has < 0. Comment on this craziness.
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