线性动态电路的篑频城会运 14.2拉普拉斯变换的基本性质 1线性性质 若Lf1()=F1(s),L[/2()]=F2(s) 则L[A4()+4()=AL[()+AL[/O) AF(S)+AF2(S) 证L[4f(0)+Af()】2=[A4()+A/O)e"d f a,f( sdt+ a52(e""dt =A1F(s)+A2F2(s) 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