Important properties of the Laplace Transform(2) (2) LT is Linear (3) Differentiation If the derivative of f(x)exists then \离=foef+eh =sF(S)-f(0) 9到=心离0=0-0 (ddread 小蛋0o-0r7-70Important properties of the Laplace Transform(2) (2) LT is Linear (3) Differentiation ( ) ( ) ( 0 ) ( 0 ) ... ( 0 ) 1 1 2               n n n n n n f t s F s s f s f f dt d L  If the derivative of f(x) exists then   0 0 0 2 2 2 0 00 0 0 0 ( ) () () ( ) (0) ( ) (0) ( ) (0) (0) 1 1 ( ) ( ) ( ) () st st st tt t st st st df t df e dt f t e s f t e dt dt dt sF s f d f t df s f s F s sf f dt dt F f d f d e dt f d e f t e dt s s                                                   L L L L ( )s s