# Transfer function with laplace transform

Hi,

I am trying to derive one transfer function for a system, but got stuck at a point. I want the solution to the ratio V_o(s)/V_g(s), the transfer function.

V_o(s) = [a*L{(V_g)^2} - b*L{V_o * (V_g)^2} - c*V_g(s) - d/s]*z(s)

In the following equation, I have:

s-> lapace transform variable
a,b,c and d -> some constants
V_o -> system output; V_o(s) = L{V_o} = laplace transform of system output
V_gs -> system input; V_gs(s) = L{V_g}
z -> another system input; z(s) = laplace transform of z

If somebody can give step by step derivation for this, that would be great!

thanks,
-- vipin