y=虑 线性劭态电最的轰频城会这 142拉普拉斯变换的基本性质 1线性性质 若L[f()=F1(s),L2(O)]=F2(s) 则L[4f()+42()=AL()]+4Lf(小 AF(S)+AF2(S) 证L(0)+4(小=MLA()+4()e"u A f(re-s'dt+L A,f2(te-s'dt =A1F1(s)+A2F2() 返回「上页「下页14.2 拉普拉斯变换的基本性质 1.线性性质 A f t A f t e t s t ( ) ( ) d 0 1 1 2 2 −   − = + A f t e t A f t e t s t s t ( ) d ( ) d 0 2 2 0 1 1 −  −    − − = + ( ) ( ) 1 1 2 2 = A F s + A F s ( ) ( ) 1 1 2 2 = A F s + A F s L[ ( )] ( ) , L[ ( )] ( ) 1 1 2 2 若 f t = F s f t = F s L ( ) ( ) L ( ) L ( ) 1 1 2 2 1 1 2 2 则 A f t + A f t = A f t + A f t L ( ) ( ) 1 1 2 2 A f t + A f t 上 页 下 页 证 返 回