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Unformatted text preview: x 2 [ n ] = u [ n ] . [4 pt] (c) Determine the output y 3 [ n ] when the input is x 3 [ n ] = (1 / 3) n u [ n ] . Problem 4. Differntial Equation (12 points) Consider a system whose input x ( t ) and output y ( t ) satisfy the following differential equation dy ( t ) dt + 3 y ( t ) = x ( t ) . Assume that the system is initially at rest. [4 pt] (a) Determine the output y 1 ( t ) when the input is x 1 ( t ) = e 2 t u ( t ) [4 pt] (b) Determine the output y 2 ( t ) when the input is x 2 ( t ) = e t u ( t ) [4 pt] (c) Determine the output y 3 ( t ) when the input is x 3 ( t ) = 6 e 2 t u ( t )12 e t u ( t )...
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 Fall '08
 HALVERSON
 LTI system theory, Impulse response

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