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Please, help me to answer the next problem:

Objective: To find the Transfer Function $z(s)/x(s)$ for the system, using the next equations:

"$a$", "$b$", "$c$" y "$k$" are constants

  1. $x(t) = a y(t) + b y'(t)$
  2. $w(t) = k y(t)$
  3. $w(t) = c z(t) + g z'(t)$
JimmyK4542
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Arturo Ortiz
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  • Check out the following link to help format your question:

    http://meta.math.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference

     – Vincent Aug 27 '14 at 02:25

1 Answers1

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Hint: If we take the Laplace Transform of each equation, we get:

  1. $X(s) = aY(s)+bsY(s) = (a+bs)Y(s)$
  2. $W(s) = kY(s)$
  3. $W(s) = cZ(s)+gsZ(s) = (c+gs)Z(s)$

Can you combine these equations to get $\dfrac{Z(s)}{X(s)}$?

JimmyK4542
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