2-2 求下列函数的拉普拉斯变换,假定当 lt 0 时, (t)=0-|||-1) (t)=5(1-cos 3t)-|||-2) (t)=(1+t+(t)^2)(e)^-t-|||-3) (t)=(e)^-0.5tsin 10t-|||-4) f(t)= ) sin t(0leqslant tleqslant pi ) 0 (或) .

5.3 利用常用函数[例如 (t),(e)^-atg(t) ,sin(βt)ε(t),cos (βt)ε(t)等]的象函数及拉普拉斯变换的性质,-|||-求下列

5.3 利用常用函数[例如 (t),(e)^-alpha tg(t), sin(βt)g(t),cos(βt)g(t)等]的象函数及拉普拉斯变换的性质,-|||

函数 f(t)= te^-3t varepsilon(t) 的拉普拉斯变换 F(s)= ____。A. $\frac{1}{(s+3)^2}$B. $\frac

4.18 求下列信号的傅里叶变换。-|||-(1) (t)=(e)^-tg(t-2)-|||-(2) (t)=(e)^-3(t-1)g(t-1)-|||-(3)

2.17 求下列函数的卷积积分 _(1)(t)*(f)_(2)(t) o-|||-(1) _(1)(t)=tg(t) ,_(2)(t)=e(t)-|||-(2)

2.17 求下列函数的卷积积分 _(1)(t)*(f)_(2)(t)-|||-(1) _(1)(t)=tg(t) _(2)(t)=g(t)-|||-(2) _(

2.17 求 下列函数的卷积积分 _(1)(t)*(f)_(2)(t) o-|||-(1) _(1)(t)=tg(t) _(2)(t)=g(t)-|||-(2)

2-13 求下列各函数f1 (t)与f2(t )的卷积 _(1)(t)*(f)_(2)(t)-|||-(1) _(1)(t)=u(t), _(2)(t)=(e)

9.4 利用拉氏变换的性质,计算 8[f(t)]:-|||-(1) (t)=t(e)^-3tsin 2t;-|||-(2) (t)=t(int )_(0)^t(

(2)已知向量组 _(1)=((1,-1,0,5))^T, _(2)=((2,0,1,4))^T, _(3)=((3,1,2,3))^T _(4)=(4,2,3