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A certain control system is represented by the following differential equation. Its transfer function would be $$\frac{{{d^2}y}}{{d{t^2}}} + \frac{{dy}}{{dt}} + 3y = \frac{{dx}}{{dt}} + 2x$$

A. $$\frac{{s + 2}}{{s + 3}}$$

B. $$\frac{{s + 2}}{{{s^2} + s + 3}}$$

C. $$\frac{{{s^2} + 2}}{{{s^2} + s + 3}}$$

D. None of these

Answer: Option B


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