Transfer function of a second order system

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The discussion centers on the confusion regarding the transfer function G(s) in two different homework questions, specifically question 1.18 and question 2.5. The user has confirmed understanding of question 1.18 but is unclear why G(s) differs in question 2.5. The lecturer suggested that the answer for question 2.5 is incorrect and should match question 1.18, though she appeared uncertain. Other participants agree that G(s) should indeed be consistent across both questions. The consensus indicates that the discrepancy in G(s) may be an error in the homework.
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Homework Statement


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Homework Equations


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The Attempt at a Solution


I have done question 1.18 and I understand it completely. However, for question 2.5, I do not understand how they got G(s)? Why isn't the G(s) in question 2.5 the same as G(s) at the bottom of question 1.18? I asked my lecturer and she spent about 10 minutes trying to figure out and eventually said that the answer for question 2.5 is a mistake and that G(s) should've been as in question 1.18. I just want to make sure whether she is right in saying this? Is G(s) in the answer for question 2.5 indeed a mistake? She seemed a bit unsure hence why I am checking on here. The same method (like question 2.5) has been used to calculate transfer function in subsequent questions.

Thanks
 
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It's obvious - G(s) should be the same in 1.18 and 2.5.
She probably seemed befuddled trying to figure out how she could have made the mistake.
 
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