LaplaceTransform

LaplaceTransform - f (t) = L1 cfw_F (s) F (s) = Lcfw_f (t)...

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f ( t )= L - 1 { F ( s ) } F ( s L{ f ( t ) } 1 . 1 1 s 2 .e at 1 s - a 3 .t n n ! s n +1 4 p ( p> - 1) Γ( p +1) s p +1 5 . sin at a s 2 + a 2 6 . cos at s s 2 + a 2 7 . sinh at a s 2 - a 2 8 . cosh at s s 2 - a 2 9 at sin bt b ( s - a ) 2 + b 2 10 at cos bt s - a ( s - a ) 2 + b 2 11 n e at n ! ( s - a ) n +1 12 .u c ( t ) e - cs s 13 c ( t ) f ( t - c ) e - cs F ( s ) 14 ct f ( t ) F ( s - c ) 15 .f ( ct ) 1 c F ± s c ² c> 0 16 . Z t 0 f ( t - τ ) g ( τ ) F ( s ) G ( s ) 17 ( t - c ) e - cs 18 ( n ) ( t ) s n F ( s ) - s n - 1 f (0) -···- sf
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This note was uploaded on 03/06/2012 for the course ENGR 195 taught by Professor Staff during the Spring '08 term at Purdue.

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