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Differential Equations in Control Theory

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Multiple Choice

Consider the differential equation: $\frac{d^2y}{dt^2} + 2\frac{dy}{dt} + y = 0$. What is the characteristic equation of this differential equation?

  1. $s^2 + 2s + 1 = 0$
  2. $s^2 - 2s + 1 = 0$
  3. $s^2 + 4s + 1 = 0$
  4. $s^2 - 4s + 1 = 0$
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