Question: In Problems 1 through 16, apply the eigenvalue method of this section to find a general solution of the given system. If initial values are

In Problems 1 through 16, apply the eigenvalue method of this section to find a general solution of the given system. If initial values are given, find also the corresponding particular solution. For each problem, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system.

x = x - 2x2, x = 2x + x2; x (0)

x = x - 2x2, x = 2x + x2; x (0) = 0, x2 (0) = 4

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