2.性质与傅立叶变换同为积分变换,故有类似性质 (1)线性定理若Lf()=f(p)和L/2()=2(p) 则Lcf()+c2f2(1)=c(p)+c2/2(p) 例(6)求snon -lot L[Sin ot=L[]=Le]-Lle1 Rep>o 2i p-io p+io p*+a LIcos at]2. 性质 与傅立叶变换同为积分变换，故有类似性质 (1) 线性定理 若 [ ( )] ( ) L f 1 t = f 1 p [ ( )] ( ) 和 L f 2 t = f 2 p [ ( ) ( )] ( ) ( ) 则 L c1 f 1 t + c2 f 2 t = c1 f 1 p + c2 f 2 p 例 (6) 求 L[sin t] . ] 1 1 [ 2 1 { [ ] [ ]} 2 1 ] 2 [sin ] [ 2 2          + = + − − = = − − = − − i p i p i p e e i i e e t i t i t i t i t L L L L Re P  0 . [cos ] 2 2   + = p p L t