Determine L^(-1){F}.
F(s) = (3s^2 + 55s + 218) / ((s - 3)(s^2 + 12s + 37))
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
L^(-1){F} = â—»
Table of Laplace Transforms
Properties of Laplace Transforms
Determine 1{F}
F(s) = 3s^2 + 55s + 218 / (s - 3)(s^2 + 12s + 37)
Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
1{F} =
Table of Laplace Transforms
Properties of Laplace Transforms
f(t)
F(s) = {f}s 1
1
{f+g} = {f} + {g} {cf} = c{f} for any constant c {eatft}s = {f}s-a f}s = s{f}s - f0 f}s = s^2{f}s - sf0 - f0 {fn}s = s{f}s - sn-1f(0) - sn-2f0 - .. - fn-1(0) uP {tft}s = -1n {f}(s)) ds n & 1{F+F2} = &1{F} + &1{F2} &1{cF} = c&1{F}
eat
1 s-a s > 0 n!
t, n = 1, 2, ...
b
sin bt
S
cos bt
n!
eat, n = 1, 2, ...
(s-a)n+1, s > a b (s-a^2 + b^2) s > a s-a
eat sin bt
eat cos bt
Print
Done