Problem 1.ss: Find a state-space representation of the electrical network shown below. In your system, $v(t)$ is the input, and $v_o(t)$ is the output. Hint: follow the suggested process:
Step 1: assign branch currents (as shown in the circuit diagram)
Step 2: write the differential voltage-current relationships for each of the inductors and capacitors, and assign state variables to each of the differentiated quantities in those equations (e.g., for a capacitor, $i = Cv$, so we could define $v$ as one of our state variables).
Step 3: Use network theory (KCL, KVL, etc.) to find the undifferentiated variables in step 2 in terms of the state variables and input(s).
Step 4: Substitute the equations from step 3 into the differential equations from step 2. This gives you the state equations.
Step 5: Write the output equation(s).
Problem 2: For the electrical circuit shown in problem 1, find the transfer function $V_o(s)/V(s)$
