sp2003132quiz1-2

sp2003132quiz1-2 - ME 132, Spring 2003, Quiz # 1 # 1 8 # 2...

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Unformatted text preview: ME 132, Spring 2003, Quiz # 1 # 1 8 # 2 5 # 3 12 # 4 10 # 5 15 # 6 10 TOTAL 60 1. (a) What is the general form of the solution to the differential equation x ( t ) + 5 x ( t ) + 6 x ( t ) = 0 (b) What is the general form of the solution to the differential equation x ( t ) + 5 x ( t ) + 6 x ( t ) = 12 Your expressions both should have two free constants. 2. Consider the complex number = 3- 4 j 8 + 6 j (a) Determine | | (b) Determine 6 3. 12 different input( u )/output( y ) systems are given below. The unit-step response, start- ing from zero initial conditions at t = 0- , are shown. Match the system with the step response. (a) y ( t ) + 8 . 4 y ( t ) + 36 y ( t ) =- 12 u ( t ) + 36 u ( t ) (b) y ( t ) + 0 . 4 y ( t ) + y ( t ) = 5 u ( t ) + u ( t ) (c) y ( t ) + 0 . 4 y ( t ) + y ( t ) = 4 u ( t )- u ( t ) (d) y ( t ) + 2 y ( t ) + 25 y ( t ) =- 8 u ( t ) + 25 u ( t ) (e) y ( t ) + 8 . 4 y ( t ) + 36 y ( t ) =- 36 u ( t ) (f) y ( t ) + 1 . 4 y ( t ) + y ( t ) =- 5 u ( t )- u ( t ) (g) y ( t ) + 0 . 4 y ( t ) + y ( t ) =- 4 u ( t ) (h) y ( t ) + 8...
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sp2003132quiz1-2 - ME 132, Spring 2003, Quiz # 1 # 1 8 # 2...

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