1.

If the input and output of a system is related by the following differential equation, then find its transfer function.\(\frac{{{d^2}y\left( t \right)}}{{dt}} + 3\frac{{dy\left( t \right)}}{{dt}} + 2y\left( t \right) = u\left( t \right) + \frac{{du\left( t \right)}}{{dt}}\)

A. \( TF = \frac{s+1}{{{s^2} + 3s + 2}}\)
B. \( TF = \frac{1}{{{s^2} + 3s + 2}}\)
C. \( TF = \frac{s+2}{{{s^2} + 3s + 2}}\)
D. \( TF = \frac{s-1}{{{s^2} + 3s + 2}}\)
Answer» B. \( TF = \frac{1}{{{s^2} + 3s + 2}}\)


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