The eigenvalues of the differential equation are (beta_{1}) and (beta_{2}) when the equation is linearized about an
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The eigenvalues of the differential equation are \(\beta_{1}\) and \(\beta_{2}\) when the equation is linearized about an equilibrium point. Determine the type of the equilibrium point and its stability.
\(\quad\beta_1=2 i, \beta_2=-2 i \)
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