Compute the inverse Laplace transform of the following functions
(e^-5s)/(s^2+4)
show all work
Compute the inverse Laplace transform of the following functions (e^-5s)/(s^2+4) show all work
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 of the following functions Please show all work.Thank You. 2) a. F(s) = S+3 (s+3)2 + 16 b. F(s) = 1 (s-2)2+4 C. F(S) 1 (s-4) d. F(s) = 6-45
5. Find the inverse Laplace transform of H(s) = 5s? +21s +18 (s +1)(s+2)?
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
2. Obtain the inverse Laplace transform of each of the following functions by first applying the partial-fraction-expansion method. (a) Fi(s) s+)(s+4) 4 2. Obtain the inverse Laplace transform of each of the following functions by first applying the partial-fraction-expansion method. (a) Fi(s) s+)(s+4) 4
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)
Determine the inverse Laplace transform of the function. 3s-72/5s^2-40s+160 Determine the inverse Laplace transform of the function below. 3s - 72 5s2 - 40s + 160 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. -1 35 - 72 15s2 - 40s + 160
Determine the inverse Laplace transform of the function below. 5s Se s? + 85 + 25 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 5s se 8-1 >(t) = 2 S' + 8s + 25 (Use parentheses to clearly denote the argument of each function.)
· Evaluate the following inverse Laplace transform 2-1 S 5s + 3 ) 1 s2 + 4s +5% ] Solve the following system of differential equations S x' – 4x + y" | x' + x + y = 0, = 0. Use the method of Laplace Transforms to solve the following IVP y" + y = f(t), y(0) = 1, y'(0) = 1, where f(t) is given by J21 0, t>1. f(t) = {t, Ost<1, PIC.COLLAGE