4100_F09_E2_practice

4100_F09_E2_practice - + 2) : 4. (21p) Find a particular...

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Your Name : Math 4100 Practice Exam II Dr. Ciprian Gal Fall 2009 Instructions : There are a total of 5 problems. 1. (18p) Find the Laplace transform of the following pulse h ( t ) = & 0 ; 0 t < 4 and t ± 8; t + 1 ; 4 t < 8 : Hint: use the Heaviside functions.
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2. (15p) Find the inverse Laplace transform of H ( s ) = 2 s 2 16 s 3 16 s :
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3. (18p) Find the inverse Laplace transform of H ( s ) = 3 s 2 ( s
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Unformatted text preview: + 2) : 4. (21p) Find a particular solution of the following di/erential equation y 00 + 4 y + 29 y = t 2 e & t : 5. (18p) Find the solution of the following forced spring system y 00 + y + 4 y = h ( t ) ; y (0) = 1 ; y (0) = 0 ; where h ( t ) is the function given in problem 1 ....
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This note was uploaded on 06/21/2010 for the course MATH 4100 taught by Professor Staff during the Fall '08 term at Missouri (Mizzou).

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4100_F09_E2_practice - + 2) : 4. (21p) Find a particular...

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