Q.The input-output relationship of a system is given by
[tex]r(t) = \frac{{{d^2}c(t)}}{{d{t^2}}} + 3\frac{{dc(t)}}{{dt}} + 2c(t)[/tex]
where r(t) and c(t) are input and output respectively. The transfer function of the system is equal to
(a) [tex]\frac{1}{{({s^2} + s + 2)}}[/tex]
(a) [tex]\frac{1}{{({s^2} + 3s + 2)}}[/tex]
(a) [tex]\frac{2}{{({s^2} + 3s + 2)}}[/tex]
(a) [tex]\frac{1}{{({s^2} + 5s + 3)}}[/tex]