find the inverse Laplace transform of the given function F(s)=frac{e^{-2}+e^{-2s}-e^{-3s}-e^{-4s}}{s}

Trent Carpenter 2020-10-28 Answered
find the inverse Laplace transform of the given function
F(s)=e2+e2se3se4ss
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un4t5o4v
Answered 2020-10-29 Author has 105 answers
Step 1
We have to find the inverse Laplace transform of the given function:
F(s)=e2+e2se3se4ss
Step 2
L1{F}=L1{ess}+L1{e2ss}L1{e3ss}L1{e4ss}=u(t1)+u(t2)u(t3)u(t4)
Step 3
Hence, the final answer is: 
u(t1)+u(t2)+u(t3)+u(t4)
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