Consider the one-parameter family of linear systems dY dt
Chapter , Problem 20(choose chapter or problem)
Consider the one-parameter family of linear systems dY dt = 0 3a 1 a Y. (a) Draw the curve in the trace-determinant plane that is obtained from varying the parameter a. (b) Determine all bifurcation values of a and briefly discuss the different types of phase portraits that are exhibited in this one-parameter family.
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