laplacetable - u c t ) f t c ) e cs F s ) Sec. 6.3 14. e ct...

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304 Chapter 6. The Laplace Transform TABLE 6.2.1 Elementary Laplace Transforms f t ) = 1 { F s ) } F s ) = { f t ) } Notes 1. 1 1 s , s > 0 Sec. 6.1; Ex. 4 2. e at 1 s a , s > a Sec. 6.1; Ex. 5 3. t n ; n = positive integer n ! s n 1 , s > 0 Sec. 6.1; Prob. 27 4. t p , p > 1 ± p 1 ) s p 1 , s > 0 Sec. 6.1; Prob. 27 5. sin at a s 2 a 2 , s > 0 Sec. 6.1; Ex. 6 6. cos at s s 2 a 2 , s > 0 Sec. 6.1; Prob. 6 7. sinh at a s 2 a 2 , s > | a | Sec. 6.1; Prob. 8 8. cosh at s s 2 a 2 , s > | a | Sec. 6.1; Prob. 7 9. e at sin bt b s a ) 2 b 2 , s > a Sec. 6.1; Prob. 13 10. e at cos bt s a s a ) 2 b 2 , s > a Sec. 6.1; Prob. 14 11. t n e at , n = positive integer n ! s a ) n 1 , s > a Sec. 6.1; Prob. 18 12. u c t ) e cs s , s > 0 Sec. 6.3 13.
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Unformatted text preview: u c t ) f t c ) e cs F s ) Sec. 6.3 14. e ct f t ) F s c ) Sec. 6.3 15. f ct ) 1 c F s c , c > Sec. 6.3; Prob. 19 16. t f t ) g ) d F s ) G s ) Sec. 6.6 17. t c ) e cs Sec. 6.5 18. f n ) t ) s n F s ) s n 1 f ) f n 1 ) ) Sec. 6.2 19. t ) n f t ) F n ) s ) Sec. 6.2; Prob. 28...
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This note was uploaded on 05/02/2011 for the course GE 207K taught by Professor None during the Spring '10 term at University of Texas at Austin.

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