# 2. Showthat the linearization of the(0,0) is the linear system Az wherenonlinear system (1) about its unique critical pointand show that (0,0) is an unstable spiral point for the lineaf systenm.

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Pls explain to me step by step. Pls dont skip ay steps. thanks help_outlineImage Transcriptionclose2. 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. fullscreen
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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.

Step 2

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

Step 3

Hence, the linear system...

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