2-1
(1)原式=0.05/s-s/(s^2+4);(2)原式=sin0.5t*cos(pi/3)+cos0.5t*sin(pi/3)=(2*√3*s+1)/(4s^2+1)
(3)原式=(t+0.4)/((t+0.4)^2+12^2)
2-2
(1)原式=-1/(s+1)+2/(s+2),拉氏反变换:-e^(-t)+2e^(-2t)
(2)1/s-2/(s+2)+(s+1)/[(s+1)^2+3],1-2e^(-2t)+e^(-t)*cos(3t)
(3)-1/(2(s+1)^2)-3/(4(s+1))+2/(3s)+1/(12(s+3)),-0.5t*e^(-t)-0.75*e^(-t)+2/3+1/12*e^(-3t)