Question

Find the Laplace transforms of the following functions:

(1) (2t – 1) u(t – 2) 

(2) t² u(t – 3) 

(3) (t² + t + 1) u(t – 1)

Answer 1

(1) Now 2t – 1 = 2 (t – 2) + 3

∴ Using Heaviside shift theorem, we get 

L {(2t – 1) u (t – 2)} = L {[2 (t – 2) + 3] u (t – 2)}