Question: Let a be complex. Prove that u(t) = ceat is the (complex) solution to our scalar ordinary differential equation (8.1). Describe the asymptotic behavior of

Let a be complex. Prove that u(t) = ceat is the (complex) solution to our scalar ordinary differential equation (8.1). Describe the asymptotic behavior of the solution as t → ∞, and the stability properties of the zero equilibrium solution.

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