Question

Find the Laplace transform sin t sin 2t sin 3t

Answer 1

Step-by-step explanation:

sin(2t)sin(3t)=12(cos(t)−cos(5t))

and that :

Lt[kcos(ωt)](s)=kss2+ω2

Hence we have :

Lt[sin(2t)sin(3t)](s)=Lt[12(cos(t)−cos(5t))]

(s)=12(ss2+1−ss2+25)=12ss4+26s2+25