The number 0 is a critical point of the autonomous differential equation dx/dt = x n ,

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The number 0 is a critical point of the autonomous differential equation dx/dt = xⁿ, where n is a positive integer. For what values of n is 0 asymptotically stable? Semi-stable? Unstable? Repeat for the differential equation dx/dt = 2xⁿ.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 09, 2018 01:56 PM

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The number 0 is a critical point of the autonomous differential equation dx/dt = x n ,

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n oold dx dt x n Hence o is unstable Critical point For d...View the full answer

A First Course in Differential Equations with Modeling Applications

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