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June 30th, 2007, 10:41 AM  #1 
Newbie Joined: Jun 2007 From: Milwaukee Posts: 11 Thanks: 0  RLC circuit and differential system of equations
( LRC circuit ) Consider the circuit equation .. . LI + RI + I / C = 0, where L, C > 0 and R ≥ 0. (a)Rewrite the equation as a twodimensional linear system. (b)Show that the origin is asymptotically stable if R > 0 and neutrally stable if R = 0. (c)Classify the fixed point at the origin, depending on whether R^2 C – 4 L is positive, negative, or zero, and sketch the phase portrait in all three cases. 

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