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For the inverting OP AMP circuit shown in Figure P9–60, write a differential equation for v_{O}(t) in terms of the elements and v_{S}(t). Assume v_{C} (0) = 0. Then let v_{S}(t) = e−10t u (t) V, R_{1} =1kΩ, R_{2} = 10 kΩ, and C = 1 μF and using Laplace techniques, find the output v_{O}(t).
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