# Question:System of Equations

## Question:System of Equations

Maple
I've got what turns out to be just a lot of algebraic manipulation - something Maple should rock at. But I can't seem to get things to turn out just right. I have a system of equations in the variable 's'. These are the equations of 3 op-amps, and I'm looking for the transfer function Vo/Vin. V1 and V2 are intermediate voltages at specific nodes, with R1-6 and C1-2, being parameters. V1 = -R2/R1*Vin, V2 = -Vo/(C1*R4*s)-V1/(C1*R3*s), Vo = R6*V2/(R6+R5)+R6*Vin/(1/(C2*s)+R6) But I can't for the life of me find a simple way to have the equations put together and then solved. I've tried, the functions, normal, simplify, factor, solve, equation manipulator - nothing seems to get me what I want. I can't even get a simple rational function in s with non-unity coefficients in s^2. Vo/Vin as a function of s. The form is: Vo/Vin = a*(s^2+b*s+c)/(s^2+d*s+e) where the coefficients on the s^2 terms are 1. I just can't get maple to rearrange it properly. Any suggestions?
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