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Linearization problem

by FaroukSchw
Tags: linearization
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Apr9-12, 12:13 PM
P: 6
Hello ,
I am trying to linearize [itex]\dot{x}[/itex]+√x = 0. The only equilibrium point is at x=0; but the derivative is not defined at this point. Does any body have a suggestion?
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Apr9-12, 04:41 PM
Sci Advisor
PF Gold
P: 4,500
Why are you trying to linearize it?
Apr9-12, 05:14 PM
P: 6
hello Office_Shredder
I just got interested in it when talking to a friend about problems that we can encounter

Apr9-12, 06:02 PM
Sci Advisor
PF Gold
P: 39,490
Linearization problem

[itex]\sqrt{x}[/itex] cannot be linearized at x= 0 precisely because its derivative does not exist.

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