Problem 1 (6 points) Consider the electrical circuit shown in Figure 1. Derive the mathematical expression that relates the output. vo with the input vin, making sure to eliminate all other variables from the final expression. R₁ ww + Vin C₁ R₂ www + Vo Figure 1: Problem 1: Electrical circuit. Hint: The final input-output model will be a single governing differential equation in terms of vin, vo, and circuit elements R1, R2, C1, and C2. Note that the input vin is the supply but the output vo is not a supply, it is only a measurement. Moreover, the circuit is grounded.