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Asked Apr 1, 2019
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Pls explain to me step by step. Pls dont skip ay steps. thanks 

2. Show
that the linearization of the
(0,0) is the linear system Az where
nonlinear system (1) about its unique critical point
and show that (0,0) is an unstable spiral point for the lineaf systenm.
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2. Show that the linearization of the (0,0) is the linear system Az where nonlinear system (1) about its unique critical point and show that (0,0) is an unstable spiral point for the lineaf systenm.

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Expert Answer

Step 1

Suppose P=(x0,y0) is an critical point of the system x\'=f(x,y) , y\'=g(x,y),

and that f and g are differentiable at P.

The linearization of the system at P is the linear system.

 

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Step 2

we have given point P=(0,0).

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Step 3

Hence, the linear system...

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