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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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*.
Related Book For answer-question

Applied Linear Algebra

1st edition

Authors: Peter J. Olver, Cheri Shakiban

ISBN: 978-0131473829