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6. (10 points) Consider an RLC circuit represented by the second-order differential equation dt where the voltage across the capacitor Vc(t) is the output and

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6. (10 points) Consider an RLC circuit represented by the second-order differential equation dt where the voltage across the capacitor Vc(t) is the output and the source Vs(t)u(t) is the input. Let the initial conditions be zero. Find the voltage across the capacitor using difference equations

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