Linearization problem


by FaroukSchw
Tags: linearization
FaroukSchw
FaroukSchw is offline
#1
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?
Regards.
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Office_Shredder
Office_Shredder is offline
#2
Apr9-12, 04:41 PM
Mentor
P: 4,499
Why are you trying to linearize it?
FaroukSchw
FaroukSchw is offline
#3
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

HallsofIvy
HallsofIvy is offline
#4
Apr9-12, 06:02 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,894

Linearization problem


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


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