hwold1 - AE 383 System Dynamics Homework #1 Due: Oct. 20,...

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AE 383 System Dynamics Homework #1 Due: Oct. 20, 2005 1. Find the Laplace transformation of the following time functions: a. 8c o s ( 2 ) 0 () 7/ 2 tt ft t π +≥ = b. cos(5 ) 0 /5 2 /5 4 /5 04 / 5 t gt t t t ππ +≤ =− + ≤≤ > 2. Solve the following o.d.e.’s using Laplace transformation and inverse Laplace transformation. a. 32 c o s ( 3 ) 2 ;( 0 ) 1 0 ) 0 xxx t t x x ++= + = = ±± ± ± b. 27 ( ) ; (0) 0, (0) 1, (0) 0 yy u t y y y += = = = ±±± ± 3. Obtain the transfer functions of the following o.d.e.’s:
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This note was uploaded on 10/24/2011 for the course AEE 463 taught by Professor Melin during the Spring '11 term at Middle East Technical University.

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