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Unformatted text preview: y ( t ) as y ( t ) = Z 1 1 [ ? ] d where [ ? ] is TBD (To Be Determined). (ii) State all properties of the system (L, NL, TI, TV, C, NC). (ii) Find y ( ) given that x ( t ) = t U ( t ) . 5. Given dy ( t ) dt + 1 t + 1 y ( t ) = x ( t ) , t > , y (0) = . (i) Solve for y ( ) in terms of x ( ) . (ii) If the solution you found in (i) is the IPOP description of a system S . Verify that S is TV. 6. A system admits the IPOP description: y ( ) = T [ x ( )] , y ( t ) = Z t 1 ( t ) e t e x ( ) d, t 1 . (i) Is this system TV or TI? (ii) Find y ( ) given that x ( t ) = e 2 t U ( t + 1) 2...
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- Spring '08