# Answer to Question #30694 in Functional Analysis for Alvin

Question #30694

Given Vin (t) = sin (wt) and Vin = Vc + Vr (out). Use laplace transform to show that Vout = CRw * cos (wt) / ( (C^2 * R^2 * w^2) + 1 ) + (C^2 * R^2 * w^2) * sin (wt) / ( (C^2 * R^2 * w^2) + 1 ) - ( (CRw * e^-t/CR) / ( (C^2 * R^2 * w^2 ) +1 )

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