Unformatted text preview: S with input x and output y , as depicted in Figure 1, is characterized by the following di±erential equation: d dt y ( t ) + 2 y ( t ) = 0 . 1 x ( t ) (a) Find the output if the input is x ( t ) = cos 2 t . (b) Now, suppose that you introduce feedback into the system as shown in Figure 1. Find the output if the input is x ( t ) = cos 2 t . (c) Sketch the magnitude of the frequency response  H ( jω )  of the system with and without feedback. Discuss how feedback a±ects the frequency response.2 x(t) y(t) S x(t) y(t) S Figure 1: System for Problem 7....
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 Fall '07
 MADHOW
 Laplace

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