Question: 3. (Exercise - Lecture 22) The voltage in the electrical circuit below is governed by the second order differential equation v (t ) + 1

3. (Exercise - Lecture 22) The voltage in the electrical circuit below is governed by the second order differential equation v" (t ) + 1 RC v' (t ) + 1 LOV(t) = 0, where R is resistance, C is capacitance, and L is induc- C tance. Find the voltage v(t) given that v(0) = 10 and vit) v'(0) =0 and express your answer in the form + clecepel R u(t) = Aert cos (wt - $). Assume that R = 500, C = 0.001, and L = 500

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