Consider the inhomogeneous differential equation du/dt = au + b, where a, b are constants. (a) Show

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Consider the inhomogeneous differential equation
du/dt = au + b,
where a, b are constants.
(a) Show that u* = - b/a is a constant equilibrium solution.
(b) Solve the differential equation.
(c) Discuss the stability of the equilibrium solution u*.

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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 09:05 AM

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Consider the inhomogeneous differential equation du/dt = au + b, where a, b are constants. (a) Show

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a If ut u ba then du dt 0 au b hence it is a ...View the full answer

Applied Linear Algebra

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