I. Using residues, find the inverse Laplace Transform of F(s) (a) F (s+2)(s+3) bFO+2X+3) F)-+ D...
1 a. Find the inverse Laplace transform of: F(s) = (s+a)(s+b)2 Using its residues. Let a and b are real constants.
1 a. Find the inverse Laplace transform of: F(s) = (s+a)(s+b)2 Using its residues. Let a and b are real constants.
3. Find the inverse Laplace transform of F(s)- 3. Find the inverse Laplace transform of F(s)-
Find the inverse Laplace transform of the given function: F(S) = 3! (s – 2)
Find the inverse Laplace transform of F(s) 393 +592 + 17s + 35 $4 + 13s2 + 36 (1) First find the partial fraction decomposition Cs + D F(s) As + B (s2 +9) + /(82 +9+ /(+ 4) (52 +4) (2) Next find the inverse Laplace transform f(t) =
(1 point) Find the inverse Laplace transform f(t) = L-i {F(s)) of the function F(s) = 52-9 help (formulas) s+3 s-3
2. Find the inverse Laplace transform of (a) F(s) = e os s/(s – 2)(s? + 25 + 1). (b) F(s) = e 128 / 8°(s? + 4).
Question (2): Laplace Transformsa) Find the Laplace Transform of the following using the Laplace Transform table provided in the back:$$ f(t)=\frac{1}{4}\left(3 e^{-2 t}-8 e^{-4 t}+9 e^{-6 t}\right) u(t) $$b) Find the inverse Laplace Transform \(F(s)\) of the following function \(f(t)\) using the table:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
3 (1 point) Find the inverse Laplace transform f(t) = --! {F(s)} of the function F(s) = - 25 32 +25 $2 + 16 f(t) = -1 e='{-6816+,725)} = help (formulas)
3. Use method of residues to calculate inverse Laplace Transform of the following: s4-2s+1 s2 (s2+4) s2-2s+1 a) X(s (b) X(s) = (s+2)2+4