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

Determine the inverse Laplace transform of the function below

Math

Share With

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)