Laplace_transform_table.pdf - Short Table of Laplace Transforms f(t = L 1 cfw_F(s F(s = L cfw_f(t 1 1 1 s 2 eat 3 tn n = 1 2 4 sin(at 5 cos(at 6 sinh(at

Laplace_transform_table.pdf - Short Table of Laplace...

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Short Table of Laplace Transforms 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 = 1 , 2 , . . . n ! s n +1 4 . sin( at ) a s 2 + a 2 5 . cos( at ) s s 2 + a 2 6 . sinh( at ) a s 2 - a 2 7 . cosh( at ) s s 2 - a 2 8 . e at sin( bt ) b ( s - a ) 2 + b 2 9 . e at cos( bt ) s - a ( s - a ) 2 + b 2 10 . t n e at , n = 1 , 2 , . . . n ! ( s - a ) n +1 11 . u c ( t ) e - cs s 12 . u c ( t ) f ( t - c ) e - cs F ( s ) 13 . e ct f ( t ) F ( s - c ) 14 . Z t 0 f ( t - τ )
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