815-1 Definition of the Laplace transform F(a)==/(-loa0=2n Foed de The two-sided or bilateral Laplace transform (s)=v(t)e"sdt The one-sided Laplace transform or direct Laplace transform ()=m (e dt The Inverse Laplace transform U(t) 1ca+jv(s)e”ds anyi v(s)=L{()()=C(s)}()(s)§15-1 Definition of the Laplace transform  + − − F j = f t e d t j t ( ) ( )  + − =     f t F j e d j t ( ) 2 1 ( ) The two-sided or bilateral Laplace transform  +  − − V s = t e dt st ( ) ( ) The one-sided Laplace transform or direct Laplace transform  +  − − = 0 V(s) (t)e dt st  The Inverse Laplace transform  +  −  = j j s t V s e ds j t     ( ) 2 1 ( ) V(s) = L(t) ( )  ( ) 1 t L V s −  = (t) V(s)