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Systems of Differential Equations

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Multiple Choice

Consider the system of differential equations (\frac{dx}{dt} = 2x - y, \ \frac{dy}{dt} = x + 2y). Find the eigenvalues of the coefficient matrix.

  1. (\lambda_1 = 1, \lambda_2 = 3)
  2. (\lambda_1 = 2, \lambda_2 = 4)
  3. (\lambda_1 = -1, \lambda_2 = -3)
  4. (\lambda_1 = 0, \lambda_2 = 2)
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