Construct a table of the possible linear systems as

Chapter , Problem 1

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Construct a table of the possible linear systems as follows: (a) The first column contains the type of the system (sink, spiral sink, source, . . . ), if it has a name. (b) The second column contains the condition on the eigenvalues that corresponds to this case. (c) The third column contains a small picture of two or more possible phase portraits for this system, and (d) The fourth column contains x(t)- and y(t)-graphs of typical solutions indicated in your phase portraits. [Hint: The most complete table contains 14 cases. Dont forget the double eigenvalue and zero eigenvalue cases.]

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