Let f satisfy f(t +T) = f(t) for all t > 0 and for some fixed positive Edit number T; f is said to be a periodic with the period T on 0

Let f satisfy f(t +T) = f(t) for all t > 0 and for some fixed positive<br>Edit<br>number T; f is said to be a periodic with the period T on 0<t < o.<br>Then, the Laplace transform of f(t) is given by<br>T<br>1<br>L{f(t)} =<br>e st f(t) dt.<br>1– e-sT<br>Use this fact to find the Laplace transform of the given function.<br>1, 0<t<4<br>1 0, 4<t<8<br>f(t) =<br>%3D<br>げ(t+8)3D f(t)<br>L{f(t)} =<br>1<br>4s<br>4+e-4s<br>

Extracted text: Let f satisfy f(t +T) = f(t) for all t > 0 and for some fixed positive Edit number T; f is said to be a periodic with the period T on 0< o.="" then,="" the="" laplace="" transform="" of="" f(t)="" is="" given="" by="" t="" 1="" l{f(t)}="e" st="" f(t)="" dt.="" 1–="" e-st="" use="" this="" fact="" to="" find="" the="" laplace="" transform="" of="" the="" given="" function.="" 1,=""><><4 1="" 0,=""><><8 f(t)="%3D" げ(t+8)3d="" f(t)="" l{f(t)}="1" 4s="">

Jun 04, 2022

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Let f satisfy f(t +T) = f(t) for all t > 0 and for some fixed positive Edit number T; f is said to be a periodic with the period T on 0

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