TG3
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Homework Statement
While t<1 , f(t) =0
While t>= 1, f(t) = t^2-2t+2
Find the LaPlace transform of the given function.
The attempt at a solution
The problem can be re-written as: u1(t)(t^2-2t+2)
If it helps, this in turn can be re-written as: u1(t)((t-1)^2+1). I'm not sure it does help though.
As for how to proceed from here, I'm in a fog. I know the LaPlace transform for something of the form uc(t) y(t-c), but have no idea what to do with this problem because of the raised power.
While t<1 , f(t) =0
While t>= 1, f(t) = t^2-2t+2
Find the LaPlace transform of the given function.
The attempt at a solution
The problem can be re-written as: u1(t)(t^2-2t+2)
If it helps, this in turn can be re-written as: u1(t)((t-1)^2+1). I'm not sure it does help though.
As for how to proceed from here, I'm in a fog. I know the LaPlace transform for something of the form uc(t) y(t-c), but have no idea what to do with this problem because of the raised power.
