DIFFERENTIAL EQUATIONGiven f(t)=-frac{1}{2t}+8 , 0leq t<4 , f(t+4)=f(t)Find F(s)=Lleft{f(t)right} of the Periodic Function

SchachtN 2020-10-26 Answered

Given f(t)=12t+8,0t<4,f(t+4)=f(t)
Find F(s)=L{f(t)} of the Periodic Function

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Expert Answer

Answered 2020-10-27 Author has 93 answers

Step 1
According to the given information it is required to find
F(s)=L{f(t)} Where, L represents Laplace Transformation and given:
Step 2
Laplace transformation of a periodic function with period p>0 is given by
here, f1(t) is one period of the function.
Step 3
Calculate the required integral to find the Laplace transformation of given periodic function, as
Step 4

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