How can I Obtain the differential equation from transfer function below ?

1/s^2 + 2s +7

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- Sep 4th 2009, 03:31 AMmoisesbrDifferential equation from transfer function
*How can I Obtain the differential equation from transfer function below ?*

1/s^2 + 2s +7

- Sep 4th 2009, 09:52 AMCaptainBlack
- Sep 4th 2009, 10:29 AMmoisesbr
Thanks, your comprehension is very appreciated

I am trying to solve a second excercice as you did, but

I got lost in third line. I don't know where the numerator 10 should

go from the second to 3hd line

*H(s) = 10/(s+7) * (s+8)*

y(s) = H(s) * X(s) = 10/([s+7] * [s+8]) * X(s)

([s+7] * [s+8]) Y(s) = X(s)

- Sep 4th 2009, 10:55 AMCaptainBlack
- Sep 4th 2009, 11:31 AMmoisesbr
Thank you. Now I know how to move the numerator

I have this last one

*I am stuck in line 3 because I'm in doubt if I can sum s^3 + 8s^2 and 9s or let it be*

*s+2/s^3 + 8s^2 +9s +15*

*y(s)= H(s) X(s) = s+2/s^3 + 8s^2 +9s +15 * X(s)*

(s^3 + 8s^2 +9s +15) * Y(s) = s+2 * X(s)

- Sep 6th 2009, 12:01 AMCoomast