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Unformatted text preview: capacitor satisfies the system of di f erential equations • L = −R 1 I − V, (1.1a) • CV = I − V (1.1b) — R 2 a) Write the system (1.1) in matrixvector form. Now let R 1 =1 ohm, R 2 =1/2 ohm, C =1/2 Farad, and L =1 Henry. (b) Solve the system for I and V using eigenvalues and eigenvectors. (c) Does the solution depend on the initial data as t →∞?...
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 Fall '08
 Edwards,D
 Differential Equations, Linear Algebra, Algebra, Equations, Prime number

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