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\frac{d}{d t} (q_C) = v_C \frac{d}{d t} (v_L) = a_L v_C = - v_R v_R = v_L u_C = u_R + u_L u_C = \frac{q_C}{C} u_R = v_R R u_L = a_L L

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FAIRDO BG example 3.1.cellml