Consider the two-parameter family of linear systems dY dt
Chapter , Problem 10(choose chapter or problem)
Consider the two-parameter family of linear systems dY dt = a b b a Y. In the ab-plane, identify all regions where this system possesses a saddle, a sink, a spiral sink, and so on. [Hint: Draw a picture of the ab-plane and shade each point (a, b) of the plane a different color depending on the type of linear system for that choice (a, b) of parameters.] I
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