use properties of the Laplace transform and the table of Laplace transforms to determine L[f] f(t)=2(t-5)u_5(t)

Efan Halliday 2021-01-13 Answered
use properties of the Laplace transform and the table of Laplace transforms to determine L[f]
f(t)=2(t5)u5(t)
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Expert Answer

avortarF
Answered 2021-01-14 Author has 113 answers
Step 1
Given: 
f(t)=2(t5)u5(t)
L[f(t)]?
Step 2
Formula : L[f(tc)uc(t)]=ecsL[f(t)]
Step 3
Solution : f(t)=2(t5)u5(t)
Take Laplace Transform to both sides: 
L[f(t)]=L[2(t5)u5(t)]
L[f(t)]=2L[(t5)u5(t)]
L[f(t)]=2e5sL(t)[L[f(tc)uc(t)]=ecsL[f(t)]]
L[f(t)]=2e5s(1!s1+1)[L(tn)=n!sn+1]
L[f(t)]=2e5s(1s2)
L[f(t)]=2e5ss2
Step 4
Answer : L[f(t)]=2e5ss2
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