Find the inverse Laplace transform of each of the following functions. a. F(s) = 4652 +...
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
Find the Inverse Laplace Transform of the following functions: F(s) = (s-4)5
Find the Inverse Laplace Transform of the following functions: F(s) = (s-4)5
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) =
Find the inverse Laplace transform, £^{F(s)}, of each of the following functions. Be sure to show all your worl 1. F(S) (s+2)3 = s+1 2. F(s) = $2 +48 $2 3. F(s) = (8-1)(8+1)(s+2) • 4. F(s) 6s+3 $4+592 +4 5. F(s) = 16 1 S 6. F(s) (s+2)(s2+4)
Differntial equations Classwork 1. Find the inverse Laplace transform of the given functions. (k) Y(s) = (1) Y(s) = ? (m) Y(s) = 52 +58 +4 (n) y .)_ 1 (n) Y(s) = 53 +52 (0) H(-) = 32 + 25 + 4 1 ZS 4 (p) F(s) = * e-s (q) G(s) = (8 + 1)2 + 3 (r) H(s) = (s + 4)3
Find the inverse Laplace transform of each of the following functions. In several of these problems, it will be helpful to write the functions 2 (as b)(cs2+ds +e) in the simpler form As B as2 + bs + c ds2+ es + f Cs+ D CsD and p2(s) = as + b T cs2 + ds + e 2
Q2 [20 pts]: Find the inverse Laplace transform of each of the following functions. 2s +3 (a) F(S) = 53 +45 (b) F($) = 52 - 68 + 13
Find the Inverse Laplace Transform of the following functions: a. F(S) = NI b. F(9) = sta c. F(S) = d. F(s) = zi,
Find the Inverse Laplace Transform of the following functions: F(s) S-1 32-