determine a function f(t) that has the given Laplace transform F(s)=frac{4s+5}{s^{2}+9}

CMIIh 2020-12-17 Answered
determine a function f(t) that has the given Laplace transform
F(s)=4s+5s2+9
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coffentw
Answered 2020-12-18 Author has 103 answers

Step 1
Given Laplace transform is F(s)=4s+5s2+9
The function can be obtained as follows. f(t)=L1{F(s)}
=L1{4s+5s2+9}
=L1{4ss2+9}+L1{5s2+9}
Step 2 On further simplifications, f(t)=4L1{ss2+32}+53L1{3s2+32}
=4cos(3t)+53sin(3t)

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