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January 5th, 2009
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$\left[ \begin{array}{c} \dot i_L \\
\dot v_c \end{array}\right]=
\left[\begin{array}{cc}
-\frac{R_1R_3}{L(R_1+R_3)} & \frac{R_1}{L(R_1+R_3)} \\
\frac{R_1}{C(R_1+R_3)} & \frac{R_1+2R_2}{CR_2(R_1+R_2)}
\end{array}\right]
\left[ \begin{array}{c} i_L \\
v_c \end{array}\right] +
\left[\begin{array}{cc}
\frac{R_3}{C(R_1+R_3)}\\
-\frac{1}{L(R_1+R_3)}
\end{array}\right]v_g$