(Solved): Find the input output equation of the circuit above, and  the state space matrices. Assuming ...

Find the input output equation of the circuit above, and  the state space matrices.

Assuming all system parameters are unity in the ideal op-amp circuit shown below, derive the input-output equation relating the input voltage \( e_{i}(t) \) to the output voltage \( e_{o}(t) \). [25] Given the circuit of Problem 3 with the specified parameters, derive the state matrices \( \mathbf{A}, \mathbf{B}, \mathbf{C} \) and \( \mathbf{D} \) when the input is the voltage \( e_{i}(t) \), and the output is the voltage \( e_{o}(t) \) where the state is defined as \( q \triangleq\left[\begin{array}{l}e_{c 1} \\ e_{c 2}\end{array}\right] \in \mathbb{R}^{2 \times 1} \).