sec7pt6

sec7pt6 - Fundamentals of Differential Equations by Nagle...

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Fundamentals of Differential Equations by Nagle, Saff, and Snider 7th edition) Section 7.6 (p. 421)- Transforms of Discontinuous Functions) 3. Find the Laplace transform of       a b where            a b a b a b a b                    a b a b a b Ans:  ° ± 8. Express the function using step functions and compute its Laplace transform. sin t pi/2          a b a b where         a b a b a b a b                   a b a b a b           a b a b a b Ans:     9. Express the function using step functions and compute its Laplace transform.

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3 1 (2,1)                          a ba b a ba b a ba b         a ba b                     a ba b a ba b         a ba b                         a ba b a ba b a ba b                   a b a b a b a b a b a b a b a b    where             a b a b                     a b a b a b              a b a b Therefore    a b a b        11. Find an inverse transform of     where               ° ± a b a b           a b ° ±  Ans:      a b  13. Find an inverse transform of                           
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