The op-amp circuit shown in Figure 6.80 is an active low-pass filter. Derive the input-output differential equation relating the output voltage \(v_{0}(t)\) and the input voltage \(v_{\mathrm{i}}(t)\). Assuming zero initial conditions, find the transfer function \(V_{\mathrm{o}}(s) / V_{\mathrm{i}}(s)\) directly from the input-output equation.

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FIGURE 6.80 Problem 9. R W R w Vo