For the process modeled by dyl 2dt = -2y1 - 3y2 + 2u1 dyz

Chapter 4, Problem 4.5

(choose chapter or problem)

For the process modeled by

\(\begin{aligned}
2 \frac{d y_{1}}{d t} & =-2 y_{1}-3 y_{2}+2 u_{1} \\
\frac{d y_{2}}{d t} & =4 y_{1}-6 y_{2}+2 u_{1}+4 u_{2}
\end{aligned}\)

Find the four transfer functions relating the outputs \(\left(y_{1}, y_{2}\right)\) to the inputs \(\left(u_{1}, u_{2}\right)\). The \(u_{i}\) and \(y_{i}\) are deviation variables.