Question: H 4 . Consider the differential equation d d t x = - x + x 2 Show that the equilibrium x = 0 is

H4. Consider the differential equation
ddtx=-x+x2
Show that the equilibrium x=0 is locally stable. Then, find an initial condition x0 such that solutions evolving from x0 do not converge to x=0 as t.
H 4 . Consider the differential equation d d t x

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