PB.10 For each of the functions given, find the inverse Laplace transform and write the result...
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
Problem 5. Determine the inverse Laplace transform of Problem 6. Determine the inverse Laplace transform of 2s2 4s 10 9(s) = 2(s+1) Problem 7. Determine the inverse Laplace transform of 2s 10
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
Differential equations Finding inverse Laplace transforms Find the inverse Laplace transform for each of the functions in Exercise Group 6.1.7.9–16. You will find partial fraction decomposition very useful. 15. F(s) = 7s + 2)3
Write the function in terms of unit step functions. Find the Laplace transform of the given function. so, f(t) = 112, Ost< 1 t21 1949 - (22+2s+2) x Need Help? Read It Talk to a Tutor
Find the inverse Laplace transform of each of the following functions. a. F(s) = 4652 + 4) f(t) = c++{F(s)}(€) = [" 58 b. G(s) = 7 (s – 5)2(52 +36) g(t) = £•*{F(0)}(€) = *
9. (15 points) Compute the inverse Laplace transform of each of the following functions: 5s a) F(s) = (8-2)(8 +3) 3(8-2) 82 4s + 9 b) G(8) = e-3
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)
3.6 Determine the inverse Laplace transform for each of the following Laplace-domain functions using Table 3.1. 10s +5 f. X(s)= (s + 2)² +32
Write the function in terms of unit step functions. Find the Laplace transform of the given function. -(2 5, (-4, 0 st 7 f(t) = t 2 7 F(s)