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Im trying to derive a transfer function from by books end of the chapter exercise, but i can in no way match it with the given solution(given by our instructor). I was hoping if you can explain me from where did the red portion of the numerator comes I could match it till the denominator, i have attached the pictures.

mathematical model

answer and the problem in the red portion

Ochin
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1 Answers1

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I get $K$ for the numerator rather than what's given in the solution, although I don't know what the symbols mean so this could well be equivalent.