Find the transfer function of the system with differential equation \(\frac{{{d^2}y}}{{d{t^2}}} + 6\frac{{dy}}{{dt}} + 25y = 9u + 3\frac{{du}}{{dt}}\)
1
\(\frac{{U(s)}}{{Y(s)}} = \frac{{(3s + 9)}}{{({s^2} + 6s + 25)}}\)
2
\(\frac{{Y(s)}}{{U(s)}} = \frac{{(9s + 3)}}{{({s^2} + 6s + 25)}}\)
3
\(\frac{{Y(s)}}{{U(s)}} = \frac{{(3s + 9)}}{{({s^2} + 6s + 25)}}\)
4
\(\frac{{Y(s)}}{{U(s)}} = \frac{{(9s + 3)}}{{({s^2} + 25s + 6)}}\)