Question: This is a Differential Equations problem. Explain the connection between straight-line solutions, eigenvectors, and the general solution. Explain the signs of the eigenvalues of A.

This is a Differential Equations problem.

  1. Explain the connection between straight-line solutions, eigenvectors, and the general solution.
  2. Explain the signs of the eigenvalues of A. Can you say anything about the relative magnitude of the eigenvalues?

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