Find the inverse Laplace transform of the given function.F(s)=\frac{2e^{-2s}}{s^2-4}

pancha3 2021-09-17 Answered
Find the inverse Laplace transform of the given function.
F(s)=2e2ss24
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Expert Answer

SchulzD
Answered 2021-09-18 Author has 83 answers

F(s)=2e2ss24
2(s2)(s+2)=As2+Bs+2
2=A(s+2)+B(s2)
A+B=0
2A2B=2
3A=2
A=23,B=23
F(s)=(2e2s3(s2)2e2s3(s+2))
By applying Inverse Laplace Transform
f(t)=23e2(t2)u(t2)23e2(t2)u(t2)

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