Thread: L.Transform of Piecewise Function

The function f(t) is defined as follows:



Find .

Rewrite using the unit step function u(t)

f(t) = u(t)(t)(t-1) + u(t-2)[1- t(t-1)]


use L{u(t-a)f(t-a)} = e^(-as)F(s)

where F(s) = L{f(t)}

note 1-t(t-1) = -t^2+t +1 = -(t-2)^2 -4(t-2) - 3

Originally Posted by MrJack1990

The function f(t) is defined as follows:



Find .

If you are good at integration by parts, you can also do this from the definition of the LT:



CB