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Unformatted text preview: evaluating the following equation: lim 1/ ° 1+ ± 1 −± 2 ²³ + y dt = lim ´µ¶ − 1 · ¸¶ 1+ ± 1 −± ϵ → 0 ϵ → 0 9. Consider the series RLC circuit shown in the figure to which an arbitrary voltage V a (t) is applied. There is an initial voltage on the capacitor of V c and initially there is a current I in the inductor. The governing equations for this system are ¹ ³ + 2 ¹ º + 5I = » º a, I(0) = I , ¹ º (0) = ¹ º ¹ º = V a (0) − ( V C + 2 I ). (1) (a) Using Laplace transforms, calculate the solution to (1) in the case of no forcing. (b) Show that the impulse response g(t) for this problem is given by g(t) =(e −t sin 2t)/2 (c) Write the solution to (1) for arbitrary forcing. 10. Page 502, number 16...
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This note was uploaded on 12/23/2009 for the course MATH 342 taught by Professor Edwards,d during the Fall '08 term at University of Delaware.
 Fall '08
 Edwards,D
 Differential Equations, Linear Algebra, Algebra, Equations

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