hw3 - Fall 2008 AME 451: Homework #3 1. Find the Laplace...

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Fall 2008 AME 451: Homework #3 1. Find the Laplace transform of the following functions a. 0.5 () cos (2)1 = i t f te tt b. 0.5( 2) ( ) c o s 3 (2 ) 1 ) t ft e t t −− =− i c. 0.5 0 (5 45)1 =+ i t f t t d. f t = 0.5( 2) 0 cos 3( 2) 45 1( 2) t et t  −+  i e. f t = 3s in co s ω ⋅⋅ f. f t = ( ) 0.5 0 i n c o s4 5 t t ωω + 2. Find the inverse Laplace transform of the following functions in Laplace domain a. 2 1 61 s Fs ss + = +− b. 2 2 1 s se + = c. 1 (1 ) ) (3 ) s s + = + d. 2 1 14 1 0 s s + = + g. 22 1 ) ) s = ++ e. 3 2 2 1 1 0 s s = + 3. Find the solution of the following differential equation
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