Let a be complex. Prove that u(t) = ceat is the (complex) solution to our scalar ordinary

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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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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:04 AM

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Let a be complex. Prove that u(t) = ceat is the (complex) solution to our scalar ordinary

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According to Exercise 3624 du dt cae at au and so ut is a valid s...View the full answer

Applied Linear Algebra

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