Question

find the inverse of the following transform " F(s) = e^(-2s) / (s+1)^2

Answer 1

any one who can answer this?

Answer 2

so we have to solve for s

\[f(s) = \frac{ e^{-2s} }{ (s+1)^2}\]

Answer 3

this is the question right ?

Answer 4

yes it is

Answer 5

and we have to find F(t)

Answer 6

((s+1)^2) * f(s) = e^(-2s)

introduce ln on both sides :
ln[((s+1)^2) * f(s)] = ln [e^(-2s)]
ln[(s+1)^2] + ln[f(s)] = -2s
2ln(s+1) +2s = -ln[f(s)]
ln(s+1) + ln(e^s) = -ln[f(s)] / 2

but then we still cant isolate s..

Answer 7

no we have to use the t shifting theorm here

Answer 8

dont know about it .. sorry cant help you