Determine what is the stability of the critical point

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Reference no: EM13249364

Determine the eigenvalues of the system:
y1'=8y1-y2
y'2=y1+10y2
What is the stability of the critical point?

a.) lambda(base)1=2+i2,lambda= 2-i2, Stable
b.) lambda (base)1,lambda(base)2=9, Unstable
c.) lambda(base)1=-9+i2,lambda=-9-i2, Stable
d.) lambda(base)1=2+i2, lambda=2-i2, Stable and attractive

Reference no: EM13249364

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