L-1{ s / (s2+1)2 }
L−1[s(s2+1)2]=ddtL−1[1(s2+1)2]=L^{-1}[\frac{s}{(s^2+1)^2}]=\frac{d}{dt}L^{-1}[\frac{1}{(s^2+1)^2}]=L−1[(s2+1)2s]=dtdL−1[(s2+1)21]=
ddt[12sin(t)−12tcos(t)]=12tsin(t).\frac{d}{dt}[\frac{1}{2}sin(t)-\frac{1}{2}tcos(t)]=\frac{1}{2}tsin(t).dtd[21sin(t)−21tcos(t)]=21tsin(t).
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