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Apply the eigenvalue method to find a general solution of the given system. Find the particular solution corresponding to the given initial values. Use

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Apply the eigenvalue method to find a general solution of the given system. Find the particular solution corresponding to the given initial values. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system. x' = 3x + 4x2 x2 = 3x1 + 2x2 x(0)=x2(0)=1 The eigenvalue(s) of the constant coefficient matrix is (are) (Use a comma to separate answers as needed. Simplify your answer. Type an exact answer, using radicals and i as needed.)

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