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Consider the First-Order Homogeneous System of Linear Differential Equations

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Consider the first-order homogeneous system of linear differential equations
‪ Consider the first-order homogeneous system of linear differential equations ‪ (i) For what real values of α does this system have complex eigenvalues? (ii) What do the solution trajectories look like for the values of α found in part (i)?
(i) For what real values of α does this system have complex eigenvalues?
(ii) What do the solution trajectories look like for the values of α found in part (i)?

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(i) Any real number ...

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