laplace

Laplace - i(t = C dv dt di v(t = L dt sin = sin cos cos sin cos = cos cos sin sin Function 1 t t2 t3 Transform 1 s 1 s2 2 s3 3 s4 1 s a 1(s a)2 2(s

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i ( t ) = C dv dt v ( t ) = L di dt sin( α ± β ) = sin α cos β ± cos α sin β cos( α ± β ) = cos α cos β ± sin α sin β Function Transform Function Transform 1 1 s cos( at ) s s 2 + a 2 t 1 s 2 sin( at ) a s 2 + a 2 t 2 2! s 3 e - at cos( bt ) ( s + a ) ( s + a ) 2 + b 2 t 3 3! s 4 e - at sin( bt ) b ( s + a ) 2 + b 2 e - at 1 s + a t cos( at ) ( s 2 - a 2 ) ( s 2 + a 2 ) 2 te - at 1 ( s + a ) 2 t sin( at ) 2 as ( s 2 + a 2 ) 2 t 2 e - at 2! ( s + a ) 3 tf ( t ) - F 0 ( s ) f 0 ( t ) sF ( s ) - f (0) u ( t - a ) e - as s f 00
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This note was uploaded on 02/06/2012 for the course EE 3530 taught by Professor Chen during the Fall '07 term at LSU.

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