Question: The linearized differential equation around an equilibrium point is [Delta ddot{x}+2 Delta dot{x}+3 Delta x=0] Classify the equilibrium point and determine its stability.

The linearized differential equation around an equilibrium point is

\[\Delta \ddot{x}+2 \Delta \dot{x}+3 \Delta x=0\]

Classify the equilibrium point and determine its stability.


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