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Homework answers / question archive / Determine the inverse Laplace transform of the function below

Determine the inverse Laplace transform of the function below. (28 + 7)4 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. **{*26*7}-0

Table of Laplace Transforms F(s) = {{f}(s) 1 - eat s-a,s>0 t", n=1,2,... b sin bt 52 D21830 S cos bt $? + m2,s>o n! e aten, n= 1,2,... (s-a)n +7,5>a b e at sin bt (s -a)2 +62,5>a S-a e at cos bt (s -a)2 + 2,5>a

Properties of Laplace Transforms {f+g} = L{f} + {9} L{cf} = cl{f} for any constant c £{e atf(t)} (s) = {{f}(s-a) L{f'} (s) = s£{f}(s) – f(0) ${f''} (s) = s? k{f}(s) – sf(0) – f'(o) ${f{n}} (s) = s"${f}(s) - sn-1f(0) -sm-2p'(0) - ... - f{n-1)(0) e{t"f(t)}(s) = (-1) 4 (Kf(s)

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