Question

Find L(

sin(t−2)u(t−2)

t−2

), where u(t) is Heaviside unit step function.​

Answer 1

Explanation:

given f (t) can be written in the following form by a standard property. f (t) = sint + [sin2t – sint] u(t – π) + [sin3t – sin2t] u(t – 2π) Now L [f (t)] = L (sint) + L {[sin2t – sint] u(t – π)} + L{[sin3t – sin2t] u(t – 2π)} ...(1) Consider L [sin2t – sint] u(t – π) Read more on Sarthaks.com - https://www.sarthaks.com/366257/define-heaviside-step-function-using-unit-step-function-find-laplace-transform-sin2t-sin3t