Need some help please. Express F(t) in terms of the alpha function and find L{F(t)}. F(t) = 3 01

Question

Need some help please. Express F(t) in terms of the alpha function and find L{F(t)}.
F(t) = 3   0<t<1
      = t     t>1

anonymous · Answer

@Hero

anonymous · Answer

@zepdrix @nincompoop

anonymous · Answer

Is the "alpha function" defined as
$$\alpha(x-c)=\begin{cases}1&\text{for }x\ge c\0&\text{for }x<c\end{cases}~~?$$
If it is, it's more commonly known as the Heaviside theta/step function.

And you're supposed to find the Laplace transform of the given function, correct?

anonymous · Answer

Yes... I was actually able to figure it out.

anonymous · Answer

Its not bad, I just needed to get the hang of it and I got it
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