Differntial equations Classwork 1. Find the inverse Laplace transform of the given functions. (k) Y(s) =...
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)}(€) = *
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
Find the Inverse Laplace Transform of the following functions: F(s) S-1 32-
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: 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 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
3. Find the inverse Laplace transform of F(s)- 3. Find the inverse Laplace transform of F(s)-
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t) 1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
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)