20092ee102_1_S09-102-HW-4

20092ee102_1_S09-102-HW-4 - Spring 2009: Put First Letter...

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Spring 2009: Put First Letter of LAST Name in the corner →→%% ( Otherwise Your HW Will Be LOST! ) PRINT: (LAST , Middle, First):——————————————————– HW: # 4 A LATE HW IS A NON-HW! Posted: April 23 Hand In To Me 1 : April 30 Attach This Sheet To Your HW (Otherwise It Will Be Lost!) 1. Solve the DE, together with the given initial conditions, by LT: d 2 y ( t ) dt 2 + 3 dy ( t ) dt + 3 y ( t ) = U ( t ) , t > 0 and y (0) = 0 , ˙ y (0) = 1 (iii) Find f ( t ) given that: F ( s ) = s + 1 s 3 + 6 s 2 + 4 s F ( s ) = s 2 + 4 s s 2 + 2 s + 2 2. Find the Laplace Transform F ( s ) of f ( t ) given that f ( t ) = cos t Z t 0 cos τ dτ + sin t Z t 0 cos τ dτ, t > 0 3. Find h ( t ) given that its Laplace Transform H ( s ) is H ( s ) = s 2 s 2 + s + 4 1 during the break of the Thursday Lecture 1
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If H ( s ) is the System Function of a LTIC system, write down the di±erential equation relating its input x ( t ) and its output y ( t ). 4.
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This note was uploaded on 03/29/2011 for the course ELECTRICAL EE102 taught by Professor Levan during the Spring '09 term at UCLA.

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20092ee102_1_S09-102-HW-4 - Spring 2009: Put First Letter...

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